Pith Number

pith:TT3HMMMQ

pith:2015:TT3HMMMQDG65VWOYB3RXOH4OQH

not attested not anchored not stored refs pending

On the continuity of the geometric side of the trace formula

Erez Lapid, Tobias Finis

arxiv:1512.08753 v3 · 2015-12-29 · 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{TT3HMMMQDG65VWOYB3RXOH4OQH}

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	2026-05-18T00:53:02.764041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf676319019bddad9d80ee3771f8e81d78530b7527c344bbabea4e098e401fb

Aliases

arxiv: 1512.08753 · arxiv_version: 1512.08753v3 · doi: 10.48550/arxiv.1512.08753 · pith_short_12: TT3HMMMQDG65 · pith_short_16: TT3HMMMQDG65VWOY · pith_short_8: TT3HMMMQ

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/TT3HMMMQDG65VWOYB3RXOH4OQH \
  | 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: 9cf676319019bddad9d80ee3771f8e81d78530b7527c344bbabea4e098e401fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778d862870dc70673d3aeff340cba31ae47d4bc73ad0706c3a620fbfb5e5b945",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-29T18:54:16Z",
    "title_canon_sha256": "d3147184e8f6d62c4df20b17cc86a40acd8d6d6f0602854253e95c7f0e8e3de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08753",
    "kind": "arxiv",
    "version": 3
  }
}