Pith Number

pith:77EX3HTI

pith:2010:77EX3HTIBZCCRSRHNSQM7LH2SM

not attested not anchored not stored refs pending

Mutation and instanton knot homology

Daniel Ruberman, P. B. Kronheimer, T. S. Mrowka

arxiv:1012.1192 v2 · 2010-12-06 · 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{77EX3HTIBZCCRSRHNSQM7LH2SM}

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	2026-05-18T04:11:17.962636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc97d9e680e4428ca276ca0cfacfa9325a55658467b4e7b2af7271d62cd7cc5

Aliases

arxiv: 1012.1192 · arxiv_version: 1012.1192v2 · doi: 10.48550/arxiv.1012.1192 · pith_short_12: 77EX3HTIBZCC · pith_short_16: 77EX3HTIBZCCRSRH · pith_short_8: 77EX3HTI

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/77EX3HTIBZCCRSRHNSQM7LH2SM \
  | 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: ffc97d9e680e4428ca276ca0cfacfa9325a55658467b4e7b2af7271d62cd7cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89879b57941ca402fc7359f8b8bf49fd4c99e416ce819fe75ea813af907848ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-06T14:54:25Z",
    "title_canon_sha256": "31a123b98f159e9c586ed23a6a482f4969dca66385eb8c8b5d8ec4fb0387148d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1192",
    "kind": "arxiv",
    "version": 2
  }
}