Pith Number

pith:DPC3UVCZ

pith:2012:DPC3UVCZYZEYELK2HZHK7ZAMAH

not attested not anchored not stored refs pending

Path sets in one-sided symbolic dynamics

Jeffrey C. Lagarias, William Abram

arxiv:1207.5004 v5 · 2012-07-20 · 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{DPC3UVCZYZEYELK2HZHK7ZAMAH}

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	2026-05-18T02:44:32.587563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc5ba5459c649822d5a3e4eafe40c01c4d233f38a78564cea78c8a067edd333

Aliases

arxiv: 1207.5004 · arxiv_version: 1207.5004v5 · doi: 10.48550/arxiv.1207.5004 · pith_short_12: DPC3UVCZYZEY · pith_short_16: DPC3UVCZYZEYELK2 · pith_short_8: DPC3UVCZ

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/DPC3UVCZYZEYELK2HZHK7ZAMAH \
  | 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: 1bc5ba5459c649822d5a3e4eafe40c01c4d233f38a78564cea78c8a067edd333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff476395005ed87daa33dfeea211d511739524349e82d081e63963655691eef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-20T17:09:19Z",
    "title_canon_sha256": "0d00808d3a8aca102256472534ca33b34ac8e5e201491c6bd35638dfcf7d380f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5004",
    "kind": "arxiv",
    "version": 5
  }
}