Pith Number

pith:2N6PVYS6

pith:2013:2N6PVYS6UY6LTZYJ3QVVYH5JXD

not attested not anchored not stored refs pending

Higher hairy graph homology

Jim Conant, Karen Vogtmann, Martin Kassabov

arxiv:1308.3825 v1 · 2013-08-18 · math.AT · math.GT · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2N6PVYS6UY6LTZYJ3QVVYH5JXD}

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	2026-05-18T03:15:33.717702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37cfae25ea63cb9e709dc2b5c1fa9b8d060a4644e25f898fd01fba356a84564

Aliases

arxiv: 1308.3825 · arxiv_version: 1308.3825v1 · doi: 10.48550/arxiv.1308.3825 · pith_short_12: 2N6PVYS6UY6L · pith_short_16: 2N6PVYS6UY6LTZYJ · pith_short_8: 2N6PVYS6

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/2N6PVYS6UY6LTZYJ3QVVYH5JXD \
  | 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: d37cfae25ea63cb9e709dc2b5c1fa9b8d060a4644e25f898fd01fba356a84564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da21022c27076fa18c67a228c7bfb2500d8aad3cb6cbad7a91a75b42f668f1dd",
    "cross_cats_sorted": [
      "math.GT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-18T02:49:40Z",
    "title_canon_sha256": "2b547e1d3395ec954ccbb64d7bf4cfd3db36ba66d447cdce44d70a44fb7556e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3825",
    "kind": "arxiv",
    "version": 1
  }
}