Pith Number

pith:OXFU4B4R

pith:2015:OXFU4B4RHXAW5CF3ZOEBQU77FH

not attested not anchored not stored refs pending

A relative trace formula for a compact Riemann surface

Eric Wambach, Kimball Martin, Mark McKee

arxiv:1504.05684 v1 · 2015-04-22 · math.NT · 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{OXFU4B4RHXAW5CF3ZOEBQU77FH}

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	2026-05-18T02:18:12.951974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75cb4e07913dc16e88bbcb881853ff29c2e6260aefa144382c325e0a56a2b51b

Aliases

arxiv: 1504.05684 · arxiv_version: 1504.05684v1 · doi: 10.48550/arxiv.1504.05684 · pith_short_12: OXFU4B4RHXAW · pith_short_16: OXFU4B4RHXAW5CF3 · pith_short_8: OXFU4B4R

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/OXFU4B4RHXAW5CF3ZOEBQU77FH \
  | 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: 75cb4e07913dc16e88bbcb881853ff29c2e6260aefa144382c325e0a56a2b51b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cac5c41aa2a515491ded064f21ce3c4b6d4dbb13cb03d1b3481ccf8c59b851d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-22T07:55:34Z",
    "title_canon_sha256": "83c89900970dd1c8fc497bf4cbc7ad84bfef2d38d3ce310faf74f69beb52277d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05684",
    "kind": "arxiv",
    "version": 1
  }
}