Pith Number

pith:QMEUXKYB

pith:2009:QMEUXKYBI2BPN34YZX7B36LF7D

not attested not anchored not stored refs pending

Graphs of 20 edges are 2-apex, hence unknotted

Thomas W. Mattman

arxiv:0910.1575 v1 · 2009-10-08 · 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{QMEUXKYBI2BPN34YZX7B36LF7D}

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	2026-05-18T02:41:51.116377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83094bab014682f6ef98cdfe1df965f8c3fa030fdbb0ed2d1ad881b6836917c3

Aliases

arxiv: 0910.1575 · arxiv_version: 0910.1575v1 · doi: 10.48550/arxiv.0910.1575 · pith_short_12: QMEUXKYBI2BP · pith_short_16: QMEUXKYBI2BPN34Y · pith_short_8: QMEUXKYB

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/QMEUXKYBI2BPN34YZX7B36LF7D \
  | 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: 83094bab014682f6ef98cdfe1df965f8c3fa030fdbb0ed2d1ad881b6836917c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "690a5ae36384cee45a1b0c34eb4bee4822858481725a934e8148b8254b32ea04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-08T19:17:37Z",
    "title_canon_sha256": "bfe2b91cfb3d62e50153bb4542560ea9ff882154dffd4d322bc678220bb7da3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1575",
    "kind": "arxiv",
    "version": 1
  }
}