Pith Number

pith:SCRS3MCB

pith:2019:SCRS3MCBGTW5AKGAKGMMSMIVIR

not attested not anchored not stored refs pending

A cryptographic application of the Thurston norm

Delaram Kahrobaei, Ramon Flores, Thomas Koberda

arxiv:1908.03504 v2 · 2019-08-09 · math.GT · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCRS3MCBGTW5AKGAKGMMSMIVIR}

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	2026-07-05T00:33:02.712192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90a32db04134edd028c05198c93115444338b00744701a4f317453ec5ef41ac6

Aliases

arxiv: 1908.03504 · arxiv_version: 1908.03504v2 · doi: 10.48550/arxiv.1908.03504 · pith_short_12: SCRS3MCBGTW5 · pith_short_16: SCRS3MCBGTW5AKGA · pith_short_8: SCRS3MCB

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/SCRS3MCBGTW5AKGAKGMMSMIVIR \
  | 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: 90a32db04134edd028c05198c93115444338b00744701a4f317453ec5ef41ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "813cd429bf3b49d056324b565aa0a978e4d26e19113f473e90edfa154138498a",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-09T15:48:16Z",
    "title_canon_sha256": "1c31e7fd8fda2e15a4c2b9983b46e722c1b3d6bd45b6c347852aec5d9da5d8a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03504",
    "kind": "arxiv",
    "version": 2
  }
}