Pith Number

pith:ESIVMEYQ

pith:1999:ESIVMEYQIXRR6NWXMPMHVLTVBC

not attested not anchored not stored refs pending

Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces

Daniel Jelsovsky, J. Scott Carter, Masahico Saito, Seiichi Kamada

arxiv:math/9906115 v1 · 1999-06-17 · 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{ESIVMEYQIXRR6NWXMPMHVLTVBC}

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	2026-05-18T01:05:32.920410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

249156131045e31f36d763d87aae7508b0f1f4cab65e530c7125184c177fa0c5

Aliases

arxiv: math/9906115 · arxiv_version: math/9906115v1 · doi: 10.48550/arxiv.math/9906115 · pith_short_12: ESIVMEYQIXRR · pith_short_16: ESIVMEYQIXRR6NWX · pith_short_8: ESIVMEYQ

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/ESIVMEYQIXRR6NWXMPMHVLTVBC \
  | 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: 249156131045e31f36d763d87aae7508b0f1f4cab65e530c7125184c177fa0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d43d97610e9805551dce082f62661d414e3b0fb35ddd23d6c552288e7673ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-06-17T02:10:50Z",
    "title_canon_sha256": "e2553ea50d61dc34aec73f1328493c3a6e38312a1fc7d7e2c353086359aa6ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906115",
    "kind": "arxiv",
    "version": 1
  }
}