Pith Number

pith:FIAKOBYP

pith:2007:FIAKOBYPBHW5HVZP2VWTEDNTCK

not attested not anchored not stored refs pending

The Dirac spectrum on manifolds with gradient conformal vector fields

Andrei Moroianu (CMLS-EcolePolytechnique), Sergiu Moroianu (IMAR)

arxiv:math/0701635 v2 · 2007-01-23 · 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{FIAKOBYPBHW5HVZP2VWTEDNTCK}

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	2026-05-17T23:56:49.153859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a00a7070f09edd3d72fd56d320db31294438435e09f6197b713888c25d71c4b

Aliases

arxiv: math/0701635 · arxiv_version: math/0701635v2 · doi: 10.48550/arxiv.math/0701635 · pith_short_12: FIAKOBYPBHW5 · pith_short_16: FIAKOBYPBHW5HVZP · pith_short_8: FIAKOBYP

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/FIAKOBYPBHW5HVZP2VWTEDNTCK \
  | 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: 2a00a7070f09edd3d72fd56d320db31294438435e09f6197b713888c25d71c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0f4866682f6750c24884a0d71d0e6f6354a7e5ba41fb6dede616358745dbe9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-01-23T08:57:18Z",
    "title_canon_sha256": "a8f1d459f89fbf23c02a71ce3552087f9629b9793c69c4623936144ffb345b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701635",
    "kind": "arxiv",
    "version": 2
  }
}