Pith Number

pith:UU57CSX6

pith:2011:UU57CSX6O3CK25NWMU5V4LPBJD

not attested not anchored not stored refs pending

A spanning tree cohomology theory for links

Daniel Kriz, Igor Kriz

arxiv:1109.0064 v3 · 2011-09-01 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UU57CSX6O3CK25NWMU5V4LPBJD}

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	2026-05-18T03:00:11.674987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53bf14afe76c4ad75b6653b5e2de148ca57b4a6fcc4f675ce4d336b9c9a5056

Aliases

arxiv: 1109.0064 · arxiv_version: 1109.0064v3 · doi: 10.48550/arxiv.1109.0064 · pith_short_12: UU57CSX6O3CK · pith_short_16: UU57CSX6O3CK25NW · pith_short_8: UU57CSX6

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/UU57CSX6O3CK25NWMU5V4LPBJD \
  | 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: a53bf14afe76c4ad75b6653b5e2de148ca57b4a6fcc4f675ce4d336b9c9a5056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87f75f347e078834d9e22471bf6bf12f4f44305faf1afd87a89d2875174001b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-01T01:46:54Z",
    "title_canon_sha256": "d686afdf104fe853a30a9c9ff98bea6cd0366abf42443676621d2085396c7c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0064",
    "kind": "arxiv",
    "version": 3
  }
}