Pith Number

pith:AQ7FVCCV

pith:2012:AQ7FVCCVVHW3KLEKIYRSMPRR55

not attested not anchored not stored refs pending

Vassiliev Invariants from Parity Mappings

H. A. Dye

arxiv:1203.2939 v1 · 2012-03-13 · 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{AQ7FVCCVVHW3KLEKIYRSMPRR55}

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	2026-05-18T04:00:13.084288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043e5a8855a9edb52c8a4623263e31ef61ef9deea9c3be12fc9e4e302d018c3f

Aliases

arxiv: 1203.2939 · arxiv_version: 1203.2939v1 · doi: 10.48550/arxiv.1203.2939 · pith_short_12: AQ7FVCCVVHW3 · pith_short_16: AQ7FVCCVVHW3KLEK · pith_short_8: AQ7FVCCV

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/AQ7FVCCVVHW3KLEKIYRSMPRR55 \
  | 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: 043e5a8855a9edb52c8a4623263e31ef61ef9deea9c3be12fc9e4e302d018c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfd0c5de59b2880cff21a97885ff88947fce8b7f0f321b4dfe4a46176cadc8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-13T20:17:37Z",
    "title_canon_sha256": "19695ce78a6468d80e74f93d9db318f7406e69a5785a260a15e95ac858830adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2939",
    "kind": "arxiv",
    "version": 1
  }
}