Pith Number

pith:AATS2ZGF

pith:2014:AATS2ZGFVS72H3NTSB3TKVXFF6

not attested not anchored not stored refs pending

Generalized translation invariant valuations and the polytope algebra

Andreas Bernig, Dmitry Faifman

arxiv:1406.4500 v2 · 2014-06-17 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AATS2ZGFVS72H3NTSB3TKVXFF6}

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	2026-05-18T00:41:58.678574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00272d64c5acbfa3edb390773556e52f9b89281590eb8a1b54b1ec3de8fbf773

Aliases

arxiv: 1406.4500 · arxiv_version: 1406.4500v2 · doi: 10.48550/arxiv.1406.4500 · pith_short_12: AATS2ZGFVS72 · pith_short_16: AATS2ZGFVS72H3NT · pith_short_8: AATS2ZGF

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/AATS2ZGFVS72H3NTSB3TKVXFF6 \
  | 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: 00272d64c5acbfa3edb390773556e52f9b89281590eb8a1b54b1ec3de8fbf773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e63f1834bbd5ece9fa98000091f4c0f5be65beee147679533343d86f1e0541",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-06-17T19:54:37Z",
    "title_canon_sha256": "203f2cc1b589a1afcc99b5e0bed16af003554d789121c2f8bd243e2bcc7911b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4500",
    "kind": "arxiv",
    "version": 2
  }
}