Pith Number

pith:NIU7VBZY

pith:2024:NIU7VBZY5UI4TQT6475TNB5J4X

not attested not anchored not stored refs pending

Conjugation, loop and closure invariants of the iterated-integrals signature

Jeremy Reizenstein, Joscha Diehl, Rosa Prei{\ss}

arxiv:2412.19670 v1 · 2024-12-27 · math.RA · math.AC · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIU7VBZY5UI4TQT6475TNB5J4X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Cyclic polytopes through the lens of iterated integrals

Receipt and verification

First computed	2026-07-05T09:54:39.432592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a29fa8738ed11c9c27ee7fb3687a9e5cbbd004dc2d2e0f8c9b20c8fefa96cbf

Aliases

arxiv: 2412.19670 · arxiv_version: 2412.19670v1 · doi: 10.48550/arxiv.2412.19670 · pith_short_12: NIU7VBZY5UI4 · pith_short_16: NIU7VBZY5UI4TQT6 · pith_short_8: NIU7VBZY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NIU7VBZY5UI4TQT6475TNB5J4X \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6a29fa8738ed11c9c27ee7fb3687a9e5cbbd004dc2d2e0f8c9b20c8fefa96cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0499d6977eece9d1845efd7ed9f17bbfbf4b1a60ec54d65617a44447c00a9e4",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-12-27T14:32:30Z",
    "title_canon_sha256": "fb606eaf640b66bb5355b8119bb9ee42cbf13aaf22b301eda154ba88fa71d5cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19670",
    "kind": "arxiv",
    "version": 1
  }
}