Pith Number

pith:T2GYZ4VD

pith:2013:T2GYZ4VDBH3FZW73QPL35TLJ6S

not attested not anchored not stored refs pending

Tropical Convexity and Canonical Projections

Ye Luo

arxiv:1304.7963 v1 · 2013-04-30 · 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{T2GYZ4VDBH3FZW73QPL35TLJ6S}

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	2026-05-18T03:26:51.285172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e8d8cf2a309f65cdbfb83d7becd69f4bacd85670e85337b9279b4cff49bd159

Aliases

arxiv: 1304.7963 · arxiv_version: 1304.7963v1 · doi: 10.48550/arxiv.1304.7963 · pith_short_12: T2GYZ4VDBH3F · pith_short_16: T2GYZ4VDBH3FZW73 · pith_short_8: T2GYZ4VD

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/T2GYZ4VDBH3FZW73QPL35TLJ6S \
  | 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: 9e8d8cf2a309f65cdbfb83d7becd69f4bacd85670e85337b9279b4cff49bd159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3e1f35d3a1f72771407311df7d2a5222442b93d3331d6f627495743ad7e8cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-30T11:47:38Z",
    "title_canon_sha256": "6b3e17b0b69af58012412f3fe3b32e22b72cff513636863c447e0109841a64ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7963",
    "kind": "arxiv",
    "version": 1
  }
}