Pith Number

pith:TQBD6M6D

pith:2014:TQBD6M6DCTDK43QOQR33G6PA5I

not attested not anchored not stored refs pending

Dual toric codes and polytopes of degree one

Mauricio Velasco, Val\'erie Gauthier Uma\~na

arxiv:1404.4063 v1 · 2014-04-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQBD6M6DCTDK43QOQR33G6PA5I}

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	2026-05-18T02:54:06.339197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c023f33c314c6ae6e0e8477b379e0ea35a1795160dcbe9f3928b2d784246992

Aliases

arxiv: 1404.4063 · arxiv_version: 1404.4063v1 · doi: 10.48550/arxiv.1404.4063 · pith_short_12: TQBD6M6DCTDK · pith_short_16: TQBD6M6DCTDK43QO · pith_short_8: TQBD6M6D

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/TQBD6M6DCTDK43QOQR33G6PA5I \
  | 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: 9c023f33c314c6ae6e0e8477b379e0ea35a1795160dcbe9f3928b2d784246992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56eaf393aea24608af44717cbe8bde250f83533440ba9597873b296d4de9cc6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-15T20:09:50Z",
    "title_canon_sha256": "177bf3d40ce480dc2bb04df3ccbfc83157d61e0a1279ebe17998dd16467d07f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4063",
    "kind": "arxiv",
    "version": 1
  }
}