Pith Number

pith:N2TTLRTO

pith:2017:N2TTLRTOVGLMJVCYLP33QV44C6

not attested not anchored not stored refs pending

Chip-firing groups of iterated cones

David Zureick-Brown, Jackson S. Morrow, Morgan V. Brown

arxiv:1708.05687 v4 · 2017-08-18 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2TTLRTOVGLMJVCYLP33QV44C6}

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	2026-05-18T00:04:23.998649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ea735c66ea996c4d4585bf7b8579c17a6b7e3bef5a1a3916afcdffc7db7b3c6

Aliases

arxiv: 1708.05687 · arxiv_version: 1708.05687v4 · doi: 10.48550/arxiv.1708.05687 · pith_short_12: N2TTLRTOVGLM · pith_short_16: N2TTLRTOVGLMJVCY · pith_short_8: N2TTLRTO

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/N2TTLRTOVGLMJVCYLP33QV44C6 \
  | 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: 6ea735c66ea996c4d4585bf7b8579c17a6b7e3bef5a1a3916afcdffc7db7b3c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a108023203b86200f54493710a1f6d4da741ad8bb6466b0e06e7ac15b92da79",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-18T16:43:26Z",
    "title_canon_sha256": "c67c06c1aa9162c3858312358f579aae516889c6f9547e4810da50751cc10715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05687",
    "kind": "arxiv",
    "version": 4
  }
}