Pith Number

pith:DQZF6MQF

pith:2002:DQZF6MQF5OTU5FDE2CI6UEA5NU

not attested not anchored not stored refs pending

Morphic heights and periodic points

Graham Everest, Manfred Einsiedler, Thomas Ward

arxiv:math/0204179 v1 · 2002-04-13 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQZF6MQF5OTU5FDE2CI6UEA5NU}

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	2026-05-18T02:35:38.612605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c325f3205eba74e9464d091ea101d6d1dd969419333d10756748c92d79e74b0

Aliases

arxiv: math/0204179 · arxiv_version: math/0204179v1 · doi: 10.48550/arxiv.math/0204179 · pith_short_12: DQZF6MQF5OTU · pith_short_16: DQZF6MQF5OTU5FDE · pith_short_8: DQZF6MQF

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/DQZF6MQF5OTU5FDE2CI6UEA5NU \
  | 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: 1c325f3205eba74e9464d091ea101d6d1dd969419333d10756748c92d79e74b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "486ca9548a82df0fcb2ca0074d9e55e7a5047526c800a741db8c39dd05795013",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-04-13T21:54:36Z",
    "title_canon_sha256": "658e5a339e79d162e85d71f086688bf0bc6292d96d621c27557365cb55fe6fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204179",
    "kind": "arxiv",
    "version": 1
  }
}