Pith Number

pith:CPAXUJDF

pith:2012:CPAXUJDFA7S7H6TAE7ZWLF6HM6

not attested not anchored not stored refs pending

Real normalized differentials and compact cycles in the moduli space of curves

I. Krichever

arxiv:1204.2192 v2 · 2012-04-10 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPAXUJDFA7S7H6TAE7ZWLF6HM6}

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	2026-05-18T03:15:45.480658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c17a246507e5f3fa6027f36597c7678deb97d55ceae060beda1a746e4cf00b

Aliases

arxiv: 1204.2192 · arxiv_version: 1204.2192v2 · doi: 10.48550/arxiv.1204.2192 · pith_short_12: CPAXUJDFA7S7 · pith_short_16: CPAXUJDFA7S7H6TA · pith_short_8: CPAXUJDF

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/CPAXUJDFA7S7H6TAE7ZWLF6HM6 \
  | 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: 13c17a246507e5f3fa6027f36597c7678deb97d55ceae060beda1a746e4cf00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fa74cefea056772df9df64cfc5604add847d4c89910891b5401d44f434c01d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-10T15:31:50Z",
    "title_canon_sha256": "b83043461f4e4339da021b80ab50e721ae3624f15d2cce20ac955361f953e67e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2192",
    "kind": "arxiv",
    "version": 2
  }
}