Pith Number

pith:D4F4IIY3

pith:2016:D4F4IIY36UXNQPTPSVUY2C53WL

not attested not anchored not stored refs pending

Marked boundary rigidity for surfaces

Colin Guillarmou, Marco Mazzucchelli

arxiv:1602.02946 v2 · 2016-02-09 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4F4IIY36UXNQPTPSVUY2C53WL}

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	2026-05-18T00:16:45.910693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0bc4231bf52ed83e6f95698d0bbbb2fa095a90d79210fc832bafa20166a72d

Aliases

arxiv: 1602.02946 · arxiv_version: 1602.02946v2 · doi: 10.48550/arxiv.1602.02946 · pith_short_12: D4F4IIY36UXN · pith_short_16: D4F4IIY36UXNQPTP · pith_short_8: D4F4IIY3

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/D4F4IIY36UXNQPTPSVUY2C53WL \
  | 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: 1f0bc4231bf52ed83e6f95698d0bbbb2fa095a90d79210fc832bafa20166a72d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53a2ecc3cd3b314eb4251a4b5b9654f40ef77cc2595c6acd66e93145134bc8b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-09T11:54:53Z",
    "title_canon_sha256": "7aa72382d3605136de0726c5e7aba789c9d2b6313491f531443ff3e24a140dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02946",
    "kind": "arxiv",
    "version": 2
  }
}