Pith Number

pith:E2B47J25

pith:2011:E2B47J25272HX5A3ILXMIWH6FT

not attested not anchored not stored refs pending

Knot concordance and homology cobordism

Bridget D. Franklin, Matthew Hedden, Peter D. Horn, Tim D. Cochran

arxiv:1102.5730 v1 · 2011-02-28 · 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{E2B47J25272HX5A3ILXMIWH6FT}

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	2026-05-18T03:30:03.197876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2683cfa75dd7f47bf41b42eec458fe2ce59c372478d1fbb1ff4f99e75cc96bc7

Aliases

arxiv: 1102.5730 · arxiv_version: 1102.5730v1 · doi: 10.48550/arxiv.1102.5730 · pith_short_12: E2B47J25272H · pith_short_16: E2B47J25272HX5A3 · pith_short_8: E2B47J25

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/E2B47J25272HX5A3ILXMIWH6FT \
  | 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: 2683cfa75dd7f47bf41b42eec458fe2ce59c372478d1fbb1ff4f99e75cc96bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43b0924125a2e8260cf7749ef4db0478f29a75b2b4430d013463d0654764122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-28T18:34:19Z",
    "title_canon_sha256": "a5dd9458f15b71b23a2cd933654a5522ee9d3a9d61d45153caeda7b2d55fe6be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5730",
    "kind": "arxiv",
    "version": 1
  }
}