Pith Number

pith:I5ARS43O

pith:2012:I5ARS43ONRCCGTMYLOQ6EAQAI2

not attested not anchored not stored refs pending

Harmonic Knots

Daniel Pecker (UPMC, IMJ, IMJ), Inria Paris-Rocquencourt), Pierre-Vincent Koseleff (UPMC

arxiv:1203.4376 v2 · 2012-03-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5ARS43ONRCCGTMYLOQ6EAQAI2}

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	2026-05-18T02:42:29.240663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

474119736e6c44234d985ba1e2020046a82d9ac25b2dffec75cafd6739c92453

Aliases

arxiv: 1203.4376 · arxiv_version: 1203.4376v2 · doi: 10.48550/arxiv.1203.4376 · pith_short_12: I5ARS43ONRCC · pith_short_16: I5ARS43ONRCCGTMY · pith_short_8: I5ARS43O

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/I5ARS43ONRCCGTMYLOQ6EAQAI2 \
  | 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: 474119736e6c44234d985ba1e2020046a82d9ac25b2dffec75cafd6739c92453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3459fd4b3947cce1013bc68eb6737657bfdfcff445e0008984fe784317b6f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-20T10:35:40Z",
    "title_canon_sha256": "85f2bf200b4114f37517de6e3495fcb8b5f8a29588f94d845af0288e2a971e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4376",
    "kind": "arxiv",
    "version": 2
  }
}