Pith Number

pith:HYX4KDM6

pith:2013:HYX4KDM6M3TRHRIHK4AKHOBRBA

not attested not anchored not stored refs pending

Reduced Wu and Generalized Simon Invariants for Spatial Graphs

Erica Flapan, Ryo Nikkuni, Will Fletcher

arxiv:1309.2886 v2 · 2013-09-11 · 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{HYX4KDM6M3TRHRIHK4AKHOBRBA}

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	2026-05-17T23:53:35.319908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e2fc50d9e66e713c5075700a3b831082dedb95a165432f5b8875417672eedc4

Aliases

arxiv: 1309.2886 · arxiv_version: 1309.2886v2 · doi: 10.48550/arxiv.1309.2886 · pith_short_12: HYX4KDM6M3TR · pith_short_16: HYX4KDM6M3TRHRIH · pith_short_8: HYX4KDM6

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/HYX4KDM6M3TRHRIHK4AKHOBRBA \
  | 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: 3e2fc50d9e66e713c5075700a3b831082dedb95a165432f5b8875417672eedc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ce0c3776f8f78145067bcd097a24387032706daf2cb0e572f919b2910a446d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-11T16:43:05Z",
    "title_canon_sha256": "5a678ff1fa8042d734073b7d920d45e6b5e55ddb658aba51c1ceeff96d5c191f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2886",
    "kind": "arxiv",
    "version": 2
  }
}