Pith Number

pith:TBTSI2DA

pith:2012:TBTSI2DAGJ5EWGWKG5OW4K3BP5

not attested not anchored not stored refs pending

Equivariant heat asymptotics on spaces of automorphic forms

Octavio Paniagua-Taboada, Pablo Ramacher

arxiv:1202.4709 v1 · 2012-02-21 · 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{TBTSI2DAGJ5EWGWKG5OW4K3BP5}

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	2026-05-18T04:01:50.027221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9867246860327a4b1aca375d6e2b617f525e65ac746b5921498de50a1474f1f5

Aliases

arxiv: 1202.4709 · arxiv_version: 1202.4709v1 · doi: 10.48550/arxiv.1202.4709 · pith_short_12: TBTSI2DAGJ5E · pith_short_16: TBTSI2DAGJ5EWGWK · pith_short_8: TBTSI2DA

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/TBTSI2DAGJ5EWGWKG5OW4K3BP5 \
  | 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: 9867246860327a4b1aca375d6e2b617f525e65ac746b5921498de50a1474f1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33431f5502dff5336c17a1ece3e0aba411b67116b348da98f0c6bd86dcfd4c46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-02-21T17:33:30Z",
    "title_canon_sha256": "7670e1dd42ae127c73a0bda248d72529c7186322fb06641f9f75d4b02e14f668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4709",
    "kind": "arxiv",
    "version": 1
  }
}