Pith Number

pith:RC3IG4WZ

pith:2015:RC3IG4WZM4PNLCFDZPIO3XP52U

not attested not anchored not stored refs pending

A simple twisted relative trace formula

Heekyoung Hahn

arxiv:1507.04419 v1 · 2015-07-16 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RC3IG4WZM4PNLCFDZPIO3XP52U}

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	2026-05-18T01:36:47.470291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b68372d9671ed588a3cbd0edddfdd50445ab9764f34e12bb822504e10026b3

Aliases

arxiv: 1507.04419 · arxiv_version: 1507.04419v1 · doi: 10.48550/arxiv.1507.04419 · pith_short_12: RC3IG4WZM4PN · pith_short_16: RC3IG4WZM4PNLCFD · pith_short_8: RC3IG4WZ

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/RC3IG4WZM4PNLCFDZPIO3XP52U \
  | 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: 88b68372d9671ed588a3cbd0edddfdd50445ab9764f34e12bb822504e10026b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3440a8205d7ab4d887d20e460b9d821c6013e02d5069c39a292a17b6cde81e43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-16T00:25:23Z",
    "title_canon_sha256": "a5cc733c989f0e3c5dbd5e76327e64a61322222ce284ae802d49425635dadce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04419",
    "kind": "arxiv",
    "version": 1
  }
}