Pith Number

pith:GADWPGMT

pith:2013:GADWPGMTSXMXDYQRISKSI7HIPN

not attested not anchored not stored refs pending

The Index of Dirac Operators on Incomplete Edge Spaces

Jesse Gell-Redman, Pierre Albin

arxiv:1312.4241 v4 · 2013-12-16 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GADWPGMTSXMXDYQRISKSI7HIPN}

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	2026-05-18T01:04:58.179040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300767999395d971e2114495247ce87b58242a10fcfc4c178b4ee16fe305aa14

Aliases

arxiv: 1312.4241 · arxiv_version: 1312.4241v4 · doi: 10.48550/arxiv.1312.4241 · pith_short_12: GADWPGMTSXMX · pith_short_16: GADWPGMTSXMXDYQR · pith_short_8: GADWPGMT

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/GADWPGMTSXMXDYQRISKSI7HIPN \
  | 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: 300767999395d971e2114495247ce87b58242a10fcfc4c178b4ee16fe305aa14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ac72fcc5d513ec5c8678ea330ab928477a32836df9bf14faa397b481e0bcf6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-16T03:54:25Z",
    "title_canon_sha256": "b9f4e07bbe9649f70a121443e582e40b116ce478df0689a0a54daa87ff13348e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4241",
    "kind": "arxiv",
    "version": 4
  }
}