Pith Number

pith:P3G4LVKF

pith:2021:P3G4LVKFLMDWEP4I6BMTWDMQ55

not attested not anchored not stored refs pending

Vertex distortion detects the unknot

David Crncevic, Luis Torres, Marion Campisi, Nicholas Cazet, Nikolas Rieke, Phillip Kessler, Tasha Fellman, Vatsal Srivastava

arxiv:2110.14119 v2 · 2021-10-27 · 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{P3G4LVKFLMDWEP4I6BMTWDMQ55}

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	2026-07-05T05:26:35.320498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecdc5d5455b07623f88f0593b0d90ef758f0c1f29ab865366f453173919a8bd

Aliases

arxiv: 2110.14119 · arxiv_version: 2110.14119v2 · doi: 10.48550/arxiv.2110.14119 · pith_short_12: P3G4LVKFLMDW · pith_short_16: P3G4LVKFLMDWEP4I · pith_short_8: P3G4LVKF

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/P3G4LVKFLMDWEP4I6BMTWDMQ55 \
  | 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: 7ecdc5d5455b07623f88f0593b0d90ef758f0c1f29ab865366f453173919a8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6d71f9217b6ec4ec6292bc55392c16e23f34fe8e5115bc3b17226a9eb412d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-10-27T02:02:44Z",
    "title_canon_sha256": "82a8072566daf0a8a5ea7fe898deecb64d87b0bce14dddd3fbb55c4a390157b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14119",
    "kind": "arxiv",
    "version": 2
  }
}