Pith Number

pith:IYQPY4BG

pith:2004:IYQPY4BGKRKSMD6HP247QAASG5

not attested not anchored not stored refs pending

Elliptic Operators and Higher Signatures

Eric Leichtnam, Paolo Piazza

arxiv:math/0406020 v1 · 2004-06-01 · math.DG · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYQPY4BGKRKSMD6HP247QAASG5}

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	2026-05-18T01:05:26.322230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4620fc70265455260fc77eb9f80012375d5fd813543c345a85686ba645c95386

Aliases

arxiv: math/0406020 · arxiv_version: math/0406020v1 · doi: 10.48550/arxiv.math/0406020 · pith_short_12: IYQPY4BGKRKS · pith_short_16: IYQPY4BGKRKSMD6H · pith_short_8: IYQPY4BG

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/IYQPY4BGKRKSMD6HP247QAASG5 \
  | 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: 4620fc70265455260fc77eb9f80012375d5fd813543c345a85686ba645c95386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae200bd5b3b4dd78103a8a11147ab03f548875447cec6154550a327e8f12e2c4",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-06-01T17:29:25Z",
    "title_canon_sha256": "f33c63700dc99a31af5eb3586bdf782b626595cd76bc2537317de1f299323762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406020",
    "kind": "arxiv",
    "version": 1
  }
}