Pith Number

pith:PF2LP7R6

pith:2015:PF2LP7R63NGPDIFWIVF543HBVR

not attested not anchored not stored refs pending

A twisted link invariant derived from a virtual link invariant

Naoko Kamada

arxiv:1512.01053 v1 · 2015-12-03 · 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{PF2LP7R63NGPDIFWIVF543HBVR}

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	2026-05-18T01:25:23.481061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7974b7fe3edb4cf1a0b6454bde6ce1ac7483caa6615f34acdac2c7b7d2a53585

Aliases

arxiv: 1512.01053 · arxiv_version: 1512.01053v1 · doi: 10.48550/arxiv.1512.01053 · pith_short_12: PF2LP7R63NGP · pith_short_16: PF2LP7R63NGPDIFW · pith_short_8: PF2LP7R6

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/PF2LP7R63NGPDIFWIVF543HBVR \
  | 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: 7974b7fe3edb4cf1a0b6454bde6ce1ac7483caa6615f34acdac2c7b7d2a53585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28e2ab896c6c7aa1f402946fbeb64d09e56ae12d87d118735eb6cc15dd8192a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-03T12:22:27Z",
    "title_canon_sha256": "bdd899dd6de992f65c164d5d1ccb2fbe63b821ef7e421b53cbf46a6df8dd959e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01053",
    "kind": "arxiv",
    "version": 1
  }
}