Pith Number

pith:NMLILBLH

pith:2009:NMLILBLHPNICAWEDM3ATI6RVD6

not attested not anchored not stored refs pending

Higher order modular forms and mixed Hodge theory

Ramesh Sreekantan

arxiv:0909.0714 v2 · 2009-09-03 · math.NT · 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{NMLILBLHPNICAWEDM3ATI6RVD6}

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	2026-05-18T02:12:00.157254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b168585677b5020588366c1347a351fab00b73be48a64d881be766b87eaa272

Aliases

arxiv: 0909.0714 · arxiv_version: 0909.0714v2 · doi: 10.48550/arxiv.0909.0714 · pith_short_12: NMLILBLHPNIC · pith_short_16: NMLILBLHPNICAWED · pith_short_8: NMLILBLH

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/NMLILBLHPNICAWEDM3ATI6RVD6 \
  | 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: 6b168585677b5020588366c1347a351fab00b73be48a64d881be766b87eaa272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2532bdc71e3c7eff0e03c1550645ceca99dfc5207afd19110212eef1de5906e3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-03T16:58:50Z",
    "title_canon_sha256": "b8f775e96ee4462b4f487a621a0b7ca345f0ea8c057a9891f6e50c947885d83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0714",
    "kind": "arxiv",
    "version": 2
  }
}