Pith Number

pith:EI3DWGP7

pith:2012:EI3DWGP7EUGECXWGOX4YEWWS3A

not attested not anchored not stored refs pending

On moments of a polytope

Boris Shapiro, Dmitrii V. Pasechnik, Michael Shapiro, Nick Gravin

arxiv:1210.3193 v2 · 2012-10-11 · math.MG · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EI3DWGP7EUGECXWGOX4YEWWS3A}

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	2026-05-18T00:19:09.277002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22363b19ff250c415ec675f9825ad2d82a517ae1525a08c7414320987303fc20

Aliases

arxiv: 1210.3193 · arxiv_version: 1210.3193v2 · doi: 10.48550/arxiv.1210.3193 · pith_short_12: EI3DWGP7EUGE · pith_short_16: EI3DWGP7EUGECXWG · pith_short_8: EI3DWGP7

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/EI3DWGP7EUGECXWGOX4YEWWS3A \
  | 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: 22363b19ff250c415ec675f9825ad2d82a517ae1525a08c7414320987303fc20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c39184ee76171a71ca239a06c2550a40f77f52a6fe9c67c6156cf0acb50edd8c",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-11T12:01:05Z",
    "title_canon_sha256": "f431c6f35a0d23ab016bd3493c2967645987ee8667bb94f9c2e02c12c8a8e48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3193",
    "kind": "arxiv",
    "version": 2
  }
}