Pith Number

pith:FF6IS4XL

pith:2009:FF6IS4XLWM5KMABG64SFJ76JHJ

not attested not anchored not stored refs pending

The monodromy pairing and discrete logarithm on the Jacobian of finite graphs

Farbod Shokrieh

arxiv:0907.4764 v2 · 2009-07-27 · math.CO · cs.CR · 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{FF6IS4XLWM5KMABG64SFJ76JHJ}

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	2026-05-18T04:18:45.200029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297c8972ebb33aa60026f72454ffc93a62523968fdec462451387f050fe82d42

Aliases

arxiv: 0907.4764 · arxiv_version: 0907.4764v2 · doi: 10.48550/arxiv.0907.4764 · pith_short_12: FF6IS4XLWM5K · pith_short_16: FF6IS4XLWM5KMABG · pith_short_8: FF6IS4XL

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/FF6IS4XLWM5KMABG64SFJ76JHJ \
  | 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: 297c8972ebb33aa60026f72454ffc93a62523968fdec462451387f050fe82d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed23142023fad0b11d1a5319cc201f5ccef5900386a86f1269c8f807de5aaa81",
    "cross_cats_sorted": [
      "cs.CR",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-27T20:36:21Z",
    "title_canon_sha256": "79ae47af80d17b4e0fd7ef6a079029d59f6dc2cc67862578d704f6d17eefaec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4764",
    "kind": "arxiv",
    "version": 2
  }
}