Pith Number

pith:MMTXZS3N

pith:2012:MMTXZS3NJ56DPBHYENEC25D6XL

not attested not anchored not stored refs pending

Knots, Braids and First Order Logic

Siddhartha Gadgil, T. V. H. Prathamesh

arxiv:1209.3562 v1 · 2012-09-17 · math.LO · 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{MMTXZS3NJ56DPBHYENEC25D6XL}

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	2026-05-18T03:45:30.628023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63277ccb6d4f7c3784f823482d747ebac5a192198a6f01b26baf889768aec57a

Aliases

arxiv: 1209.3562 · arxiv_version: 1209.3562v1 · doi: 10.48550/arxiv.1209.3562 · pith_short_12: MMTXZS3NJ56D · pith_short_16: MMTXZS3NJ56DPBHY · pith_short_8: MMTXZS3N

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/MMTXZS3NJ56DPBHYENEC25D6XL \
  | 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: 63277ccb6d4f7c3784f823482d747ebac5a192198a6f01b26baf889768aec57a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82dcf1cd8d2b0010b9338e727b749e431a745b1a636d35a247fc433058ec0121",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-17T06:49:35Z",
    "title_canon_sha256": "557a288e5731dc36ee75d38aafb072c47f938f58740fc149389cfa62af003250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3562",
    "kind": "arxiv",
    "version": 1
  }
}