Pith Number

pith:PJJSDG2L

pith:2026:PJJSDG2LBHKERVMWTBU3MK2M7I

not attested not anchored not stored refs pending

New relations for the vertex polynomial

Ben McCarty, Scott Baldridge

arxiv:2607.27488 v1 · 2026-07-29 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJJSDG2LBHKERVMWTBU3MK2M7I}

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	2026-07-31T01:24:12.411575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

7a53219b4b09d448d5969869b62b4cfa070a2bb5c3f3c0d7fa9b6b3a37bd00ba

Aliases

arxiv: 2607.27488 · arxiv_version: 2607.27488v1 · doi: 10.48550/arxiv.2607.27488 · pith_short_12: PJJSDG2LBHKE · pith_short_16: PJJSDG2LBHKERVMW · pith_short_8: PJJSDG2L

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/PJJSDG2LBHKERVMWTBU3MK2M7I \
  | 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: 7a53219b4b09d448d5969869b62b4cfa070a2bb5c3f3c0d7fa9b6b3a37bd00ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ad916fad34c51bfdefc7045477f4adb2bc955f79ae9dddbaf428ccbf3fc241",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-29T22:06:33Z",
    "title_canon_sha256": "9505abd06241e908b704da6b9bd991ce53c365c3f94e7760031287534b9c96af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27488",
    "kind": "arxiv",
    "version": 1
  }
}