Pith Number

pith:7ETT3G74

pith:2013:7ETT3G74ZY4NN5ZH6TEXFVGD3F

not attested not anchored not stored refs pending

Relative K-area homology and applications

Mario Listing

arxiv:1310.0755 v1 · 2013-10-02 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ETT3G74ZY4NN5ZH6TEXFVGD3F}

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	2026-05-18T03:11:34.112378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9273d9bfcce38d6f727f4c972d4c3d95a1fb380e99354efddc457fae96af6bd

Aliases

arxiv: 1310.0755 · arxiv_version: 1310.0755v1 · doi: 10.48550/arxiv.1310.0755 · pith_short_12: 7ETT3G74ZY4N · pith_short_16: 7ETT3G74ZY4NN5ZH · pith_short_8: 7ETT3G74

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/7ETT3G74ZY4NN5ZH6TEXFVGD3F \
  | 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: f9273d9bfcce38d6f727f4c972d4c3d95a1fb380e99354efddc457fae96af6bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dddeaf65b7502a7c286e63b3eee97e6c38aeb73f4e78a63d76f0f9a82f06152",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-02T16:32:10Z",
    "title_canon_sha256": "b2d60e4bc42393f3de094b7d7d628950ad976f2b8aabdd0ff388496a6914da86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0755",
    "kind": "arxiv",
    "version": 1
  }
}