Pith Number

pith:YFKXJTJG

pith:2026:YFKXJTJGNMGOUXDMTW3XQVRKST

not attested not anchored not stored refs pending

The equality case of Ehrhart's volume conjecture

Jihao Liu

arxiv:2608.01040 v1 · 2026-08-02 · math.CO · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFKXJTJGNMGOUXDMTW3XQVRKST}

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	2026-08-04T01:56:16.122140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c15574cd266b0cea5c6c9db778562a94f177b70aff8609385238ca9df2b0240c

Aliases

arxiv: 2608.01040 · arxiv_version: 2608.01040v1 · doi: 10.48550/arxiv.2608.01040 · pith_short_12: YFKXJTJGNMGO · pith_short_16: YFKXJTJGNMGOUXDM · pith_short_8: YFKXJTJG

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/YFKXJTJGNMGOUXDMTW3XQVRKST \
  | 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: c15574cd266b0cea5c6c9db778562a94f177b70aff8609385238ca9df2b0240c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7313b43aec5295c5dbeb1709b1801deedcb5b7046c733b4741e7cab6ef4c76b",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-02T06:54:11Z",
    "title_canon_sha256": "6a81094940bd22ad1318ab4fec00d2449e846ee019a8687d6e9eb99c334a38de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01040",
    "kind": "arxiv",
    "version": 1
  }
}