Pith Number

pith:VH5XY3L7

pith:2023:VH5XY3L7X3HX56ACK6X7PHGEVJ

not attested not anchored not stored refs pending

Localisation for constrained transports I: theory

Krzysztof J. Ciosmak

arxiv:2312.12281 v2 · 2023-12-19 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VH5XY3L7X3HX56ACK6X7PHGEVJ}

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.

Receipt and verification

First computed	2026-07-05T08:50:08.800866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fb7c6d7fbecf7ef80257aff79cc4aa58a5835b2532dfe25eaa4f5dbee625a0

Aliases

arxiv: 2312.12281 · arxiv_version: 2312.12281v2 · doi: 10.48550/arxiv.2312.12281 · pith_short_12: VH5XY3L7X3HX · pith_short_16: VH5XY3L7X3HX56AC · pith_short_8: VH5XY3L7

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/VH5XY3L7X3HX56ACK6X7PHGEVJ \
  | 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: a9fb7c6d7fbecf7ef80257aff79cc4aa58a5835b2532dfe25eaa4f5dbee625a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9888839a4459389bcb6306ad784987c2fae02a53902513a93f537ca69c944a0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-19T16:03:57Z",
    "title_canon_sha256": "aae701b4e952ae6548286a1d16ab3331e8712cdaaab9847cb0e554f859d6de6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.12281",
    "kind": "arxiv",
    "version": 2
  }
}