Pith Number

pith:QZHILYTG

pith:2005:QZHILYTGKIZWXAWGWXRGIRLJ7G

not attested not anchored not stored refs pending

Iterated integrals of modular forms and noncommutative modular symbols

Yu. I. Manin

arxiv:math/0502576 v1 · 2005-02-28 · 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{QZHILYTGKIZWXAWGWXRGIRLJ7G}

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.

Cited by

1 paper in Pith

IterInt: Evaluating iterated integrals via differential equations

Receipt and verification

First computed	2026-07-04T14:39:45.262513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864e85e26652336b82c6b5e2644569f9af4acfbd01471c9e7ea1247e04c48f47

Aliases

arxiv: math/0502576 · arxiv_version: math/0502576v1 · doi: 10.48550/arxiv.math/0502576 · pith_short_12: QZHILYTGKIZW · pith_short_16: QZHILYTGKIZWXAWG · pith_short_8: QZHILYTG

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/QZHILYTGKIZWXAWGWXRGIRLJ7G \
  | 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: 864e85e26652336b82c6b5e2644569f9af4acfbd01471c9e7ea1247e04c48f47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb39bc981c4382fb8b582e04974dbe7d0a57d20e9b9f7d5d6a3bd8db302f00e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-02-28T15:02:14Z",
    "title_canon_sha256": "63a00b2c5c73f8b9915096bd28f2f4f4ebc359a62012a2ccb43c801a2e508d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502576",
    "kind": "arxiv",
    "version": 1
  }
}