Pith Number

pith:C3RLQ3XU

pith:2012:C3RLQ3XUPKBHOW5MBN7UNIK5Q4

not attested not anchored not stored refs pending

p-adic path set fractals and arithmetic

Jeffrey C. Lagarias, William Abram

arxiv:1210.2478 v4 · 2012-10-09 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3RLQ3XUPKBHOW5MBN7UNIK5Q4}

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	2026-05-18T02:44:32.526791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e2b86ef47a82775bac0b7f46a15d87040804d2d0835802c614e0f0ec6384bf

Aliases

arxiv: 1210.2478 · arxiv_version: 1210.2478v4 · doi: 10.48550/arxiv.1210.2478 · pith_short_12: C3RLQ3XUPKBH · pith_short_16: C3RLQ3XUPKBHOW5M · pith_short_8: C3RLQ3XU

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/C3RLQ3XUPKBHOW5MBN7UNIK5Q4 \
  | 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: 16e2b86ef47a82775bac0b7f46a15d87040804d2d0835802c614e0f0ec6384bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86707595d0330d221f42470f2b58e7e636d99b26b8969347019a1dfa8a77148b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-09T03:31:44Z",
    "title_canon_sha256": "9a534fe5345a778d276d4a3cf30eef214de4e1614c8e7c26e6411ef6cacdb194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2478",
    "kind": "arxiv",
    "version": 4
  }
}