Pith Number

pith:GJY2J3XC

pith:2019:GJY2J3XCU62MM6LPBJ36VOGCXI

not attested not anchored not stored refs pending

0-Concordance of 2-knots

Nathan Sunukjian

arxiv:1907.06524 v1 · 2019-07-15 · 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{GJY2J3XCU62MM6LPBJ36VOGCXI}

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	2026-05-17T23:40:37.482664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3271a4eee2a7b4c6796f0a77eab8c2ba355d75759aa7d122cea13f4fd8c36f17

Aliases

arxiv: 1907.06524 · arxiv_version: 1907.06524v1 · doi: 10.48550/arxiv.1907.06524 · pith_short_12: GJY2J3XCU62M · pith_short_16: GJY2J3XCU62MM6LP · pith_short_8: GJY2J3XC

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/GJY2J3XCU62MM6LPBJ36VOGCXI \
  | 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: 3271a4eee2a7b4c6796f0a77eab8c2ba355d75759aa7d122cea13f4fd8c36f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd11867e25fbcb1614fc13d40bb902d88e44b2154a37e9cd45c7b911a540c042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-15T14:39:02Z",
    "title_canon_sha256": "08250853e6428c5fece6dc876b79c4cd0042d99103b3fb973214341073c34a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06524",
    "kind": "arxiv",
    "version": 1
  }
}