Pith Number

pith:VVZMRD7A

pith:2017:VVZMRD7AI3T7J7U44EXJBTDDOU

not attested not anchored not stored refs pending

Two-vertex generators of Jacobians of graphs

David Brandfonbrener, Ethan Sciamma, Henry Reichard, Netanel Friedenberg, Pat Devlin, Steffen Marcus, Yuxuan Ke

arxiv:1708.03069 v2 · 2017-08-10 · 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{VVZMRD7AI3T7J7U44EXJBTDDOU}

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	2026-05-18T00:35:40.831719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad72c88fe046e7f4fe9ce12e90cc63750369e985e6021c3450922c4b7e782837

Aliases

arxiv: 1708.03069 · arxiv_version: 1708.03069v2 · doi: 10.48550/arxiv.1708.03069 · pith_short_12: VVZMRD7AI3T7 · pith_short_16: VVZMRD7AI3T7J7U4 · pith_short_8: VVZMRD7A

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/VVZMRD7AI3T7J7U44EXJBTDDOU \
  | 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: ad72c88fe046e7f4fe9ce12e90cc63750369e985e6021c3450922c4b7e782837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6beb3cc96a5077f42ba295924a58406699c77ee709e49171d269cab3564c6b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-10T04:09:58Z",
    "title_canon_sha256": "413c288d99553f6e93827a6e4ce0b7347bbf17313bcddad65def4bfb166ea083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03069",
    "kind": "arxiv",
    "version": 2
  }
}