Pith Number

pith:XZXJAXYS

pith:2008:XZXJAXYSTZSESDS5CWM2QLTYCI

not attested not anchored not stored refs pending

A bijective proof for a theorem of Ehrhart

Steven V Sam

arxiv:0801.4432 v5 · 2008-01-29 · 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{XZXJAXYSTZSESDS5CWM2QLTYCI}

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	2026-05-18T03:37:53.667275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be6e905f129e64490e5d1599a82e7812278d52651b894655daf50966d6e9368c

Aliases

arxiv: 0801.4432 · arxiv_version: 0801.4432v5 · doi: 10.48550/arxiv.0801.4432 · pith_short_12: XZXJAXYSTZSE · pith_short_16: XZXJAXYSTZSESDS5 · pith_short_8: XZXJAXYS

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/XZXJAXYSTZSESDS5CWM2QLTYCI \
  | 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: be6e905f129e64490e5d1599a82e7812278d52651b894655daf50966d6e9368c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479abb230126da0e6fa691f746d36105062b9ab754c4dfaaa89b0cbea18d33af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-01-29T06:35:48Z",
    "title_canon_sha256": "2ba11446fb26dd61aef1d94934cb17763fcf0181dbd42ab10f1693220a61bec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4432",
    "kind": "arxiv",
    "version": 5
  }
}