Pith Number

pith:FVYGG6XO

pith:2010:FVYGG6XOXZWKHOUAYDRBXT6FCD

not attested not anchored not stored refs pending

On the Singularities of the Zeta and Eta functions of an Elliptic Operator

Paul Loya, Rapha\"el Ponge, Sergiu Moroianu

arxiv:1010.4039 v2 · 2010-10-19 · 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{FVYGG6XOXZWKHOUAYDRBXT6FCD}

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	2026-05-18T00:34:32.169903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d70637aeebe6ca3ba80c0e21bcfc510ccdc9f96584c593101dbb21d68c7fdaa

Aliases

arxiv: 1010.4039 · arxiv_version: 1010.4039v2 · doi: 10.48550/arxiv.1010.4039 · pith_short_12: FVYGG6XOXZWK · pith_short_16: FVYGG6XOXZWKHOUA · pith_short_8: FVYGG6XO

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/FVYGG6XOXZWKHOUAYDRBXT6FCD \
  | 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: 2d70637aeebe6ca3ba80c0e21bcfc510ccdc9f96584c593101dbb21d68c7fdaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9882b4c6a58361649cba1f1bf3a688b8a6ca45091322efc78b82defe655dd39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-19T20:09:47Z",
    "title_canon_sha256": "f4a19c44fe3ee15450df22f67383abd745bef554729813181e3f59d28c203494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4039",
    "kind": "arxiv",
    "version": 2
  }
}