Pith Number

pith:LD3IRTKR

pith:2014:LD3IRTKRGA3J4VVLMRA56XDLJF

not attested not anchored not stored refs pending

Geometry and Topology of String Junctions

Antonella Grassi, James Halverson, Julius L. Shaneson

arxiv:1410.6817 v2 · 2014-10-24 · math.AG · hep-th · 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{LD3IRTKRGA3J4VVLMRA56XDLJF}

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	2026-05-18T01:29:29.686061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f688cd5130369e56ab6441df5c6b496ddf8b10ace814c3d904770d4db02b3d

Aliases

arxiv: 1410.6817 · arxiv_version: 1410.6817v2 · doi: 10.48550/arxiv.1410.6817 · pith_short_12: LD3IRTKRGA3J · pith_short_16: LD3IRTKRGA3J4VVL · pith_short_8: LD3IRTKR

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/LD3IRTKRGA3J4VVLMRA56XDLJF \
  | 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: 58f688cd5130369e56ab6441df5c6b496ddf8b10ace814c3d904770d4db02b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc889b6e85462a88a32d474581c1ec966ae421b110c532fb93f058d03a95948",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-24T20:00:11Z",
    "title_canon_sha256": "77602e96bcd7316f6110aa333f7b693f3cd45e4226edb8166d64a09442a2d06a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6817",
    "kind": "arxiv",
    "version": 2
  }
}