Pith Number

pith:KTTBTUX4

pith:2012:KTTBTUX4PHYNNVJQOFMLX2T6BN

not attested not anchored not stored refs pending

The Functional Equation and Beyond Endoscopy

P. Edward Herman

arxiv:1208.5783 v1 · 2012-08-28 · 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{KTTBTUX4PHYNNVJQOFMLX2T6BN}

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	2026-05-18T03:46:48.713178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e619d2fc79f0d6d5307158bbea7e0b49560d20a505fd95f5cdceace1073584

Aliases

arxiv: 1208.5783 · arxiv_version: 1208.5783v1 · doi: 10.48550/arxiv.1208.5783 · pith_short_12: KTTBTUX4PHYN · pith_short_16: KTTBTUX4PHYNNVJQ · pith_short_8: KTTBTUX4

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/KTTBTUX4PHYNNVJQOFMLX2T6BN \
  | 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: 54e619d2fc79f0d6d5307158bbea7e0b49560d20a505fd95f5cdceace1073584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3b22b996e7bd6b69656b3eae479c5bcfe2b9627b9935a12d99cf8889dacd61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-28T20:31:59Z",
    "title_canon_sha256": "d667a564fd90b3b4e936dcc62d05411ea05c0f8de8d74c1265796cd225dc4b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5783",
    "kind": "arxiv",
    "version": 1
  }
}