Pith Number

pith:IOGZTS4M

pith:2012:IOGZTS4MOL3GINXOC7I2CQX24T

not attested not anchored not stored refs pending

On the equality case in Ehrhart's volume conjecture

Andreas Paffenholz, Benjamin Nill

arxiv:1205.1270 v2 · 2012-05-07 · math.CO · 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{IOGZTS4MOL3GINXOC7I2CQX24T}

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	2026-05-18T03:33:26.047002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438d99cb8c72f66436ee17d1a142fae4efeefaf68865537ef283171dc6990027

Aliases

arxiv: 1205.1270 · arxiv_version: 1205.1270v2 · doi: 10.48550/arxiv.1205.1270 · pith_short_12: IOGZTS4MOL3G · pith_short_16: IOGZTS4MOL3GINXO · pith_short_8: IOGZTS4M

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/IOGZTS4MOL3GINXOC7I2CQX24T \
  | 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: 438d99cb8c72f66436ee17d1a142fae4efeefaf68865537ef283171dc6990027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd6fcae49cf88dc2376454e1f4ac762fc3369b02bcd44bff4283de61e5c3101",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-07T02:36:08Z",
    "title_canon_sha256": "b81c8702899327880ad04d087e563abdecf906bda47e0b1ca9f0f487a37d3e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1270",
    "kind": "arxiv",
    "version": 2
  }
}