Pith Number

pith:PDUB4FT5

pith:2012:PDUB4FT5JQJQD424K3CXIRAGXO

not attested not anchored not stored refs pending

From Bi-immunity to Absolute Undecidability

Adam R. Day, Laurent Bienvenu (LIAFA), Rupert H\"olzl (LIAFA)

arxiv:1210.4937 v2 · 2012-10-17 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDUB4FT5JQJQD424K3CXIRAGXO}

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	2026-05-18T03:30:25.544514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e81e167d4c1301f35c56c5744406bb9e0f05f339832c1295387eabf01ec53e

Aliases

arxiv: 1210.4937 · arxiv_version: 1210.4937v2 · doi: 10.48550/arxiv.1210.4937 · pith_short_12: PDUB4FT5JQJQ · pith_short_16: PDUB4FT5JQJQD424 · pith_short_8: PDUB4FT5

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/PDUB4FT5JQJQD424K3CXIRAGXO \
  | 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: 78e81e167d4c1301f35c56c5744406bb9e0f05f339832c1295387eabf01ec53e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9cb37c9e1922a86d24cb7ce053318e33eb9936f8de51f04113e5b641766e26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-17T20:02:04Z",
    "title_canon_sha256": "256a62a32b11283fc60a74b507f08130c25e4afc3489c989d2e0a45ede3457a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4937",
    "kind": "arxiv",
    "version": 2
  }
}