Pith Number

pith:I342467F

pith:2003:I342467FZSFVG4EWS74IEOMBW2

not attested not anchored not stored refs pending

Perturbations of Dirac operators

Igor Prokhorenkov, Ken Richardson

arxiv:math/0307251 v3 · 2003-07-17 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I342467FZSFVG4EWS74IEOMBW2}

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	2026-05-18T01:38:28.924774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f9ae7be5cc8b53709697f8823981b691094d3f6f540724fef89a11e008126c

Aliases

arxiv: math/0307251 · arxiv_version: math/0307251v3 · doi: 10.48550/arxiv.math/0307251 · pith_short_12: I342467FZSFV · pith_short_16: I342467FZSFVG4EW · pith_short_8: I342467F

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/I342467FZSFVG4EWS74IEOMBW2 \
  | 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: 46f9ae7be5cc8b53709697f8823981b691094d3f6f540724fef89a11e008126c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3113d7dbb7f026afc0556e30d91dca489840847475829c7287def5d379fc933f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-07-17T19:51:33Z",
    "title_canon_sha256": "7ba01131685ec404bf9e25b44b12a274ba4dbe1cc2720e6f1538cdc7145548e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307251",
    "kind": "arxiv",
    "version": 3
  }
}