Pith Number

pith:FDNSU4CM

pith:2015:FDNSU4CM3MCRXZPOWN5WIDTJBZ

not attested not anchored not stored refs pending

The $p$-adic integers as final coalgebra

Prasit Bhattacharya

arxiv:1504.01408 v2 · 2015-03-20 · 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{FDNSU4CM3MCRXZPOWN5WIDTJBZ}

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	2026-05-18T01:57:23.410361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28db2a704cdb051be5eeb37b640e690e78588a3233b2d97c701f05eb283809e6

Aliases

arxiv: 1504.01408 · arxiv_version: 1504.01408v2 · doi: 10.48550/arxiv.1504.01408 · pith_short_12: FDNSU4CM3MCR · pith_short_16: FDNSU4CM3MCRXZPO · pith_short_8: FDNSU4CM

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/FDNSU4CM3MCRXZPOWN5WIDTJBZ \
  | 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: 28db2a704cdb051be5eeb37b640e690e78588a3233b2d97c701f05eb283809e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321c7fbb314062b5939c6e355d78b0d3d1a24ac44533a924a08d2676dcc69a57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-20T05:35:46Z",
    "title_canon_sha256": "3b88d1cdd581a5c93ed8fa79fcf4f757324680e29d55a5617a4496fbd6a70ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01408",
    "kind": "arxiv",
    "version": 2
  }
}