Pith Number

pith:DQBVOULZ

pith:2014:DQBVOULZV6N4T3EE6HF5HQASSP

not attested not anchored not stored refs pending

Nonlinear Harmonic Forms and an Indefinite Bochner Formula

Mark Stern

arxiv:1411.0144 v2 · 2014-11-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQBVOULZV6N4T3EE6HF5HQASSP}

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	2026-05-18T01:29:38.429117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c03575179af9bc9ec84f1cbd3c01293eefe788439c5cbfb6c3649cbc5a7964b

Aliases

arxiv: 1411.0144 · arxiv_version: 1411.0144v2 · doi: 10.48550/arxiv.1411.0144 · pith_short_12: DQBVOULZV6N4 · pith_short_16: DQBVOULZV6N4T3EE · pith_short_8: DQBVOULZ

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/DQBVOULZV6N4T3EE6HF5HQASSP \
  | 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: 1c03575179af9bc9ec84f1cbd3c01293eefe788439c5cbfb6c3649cbc5a7964b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20588c91f1ad75884956747c1445c3dbf33615747d966904e763f0e3ba322237",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-01T18:06:59Z",
    "title_canon_sha256": "004e82b97af93e6e3a18089a0be8d2de4aed5e266f0b1a10a2951f834cd33457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0144",
    "kind": "arxiv",
    "version": 2
  }
}