Pith Number

pith:ZGQRNOIK

pith:2011:ZGQRNOIKQRXFQ5EWMK56WLJTHJ

not attested not anchored not stored refs pending

Real closed exponential fields

Julia F. Knight, Karen Lange, Paola D'Aquino, Salma Kuhlmann

arxiv:1112.4062 v1 · 2011-12-17 · 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{ZGQRNOIKQRXFQ5EWMK56WLJTHJ}

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	2026-05-18T03:37:41.580252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a116b90a846e58749662bbeb2d333a4eff1658db67985eec3db525cc6cf595

Aliases

arxiv: 1112.4062 · arxiv_version: 1112.4062v1 · doi: 10.48550/arxiv.1112.4062 · pith_short_12: ZGQRNOIKQRXF · pith_short_16: ZGQRNOIKQRXFQ5EW · pith_short_8: ZGQRNOIK

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/ZGQRNOIKQRXFQ5EWMK56WLJTHJ \
  | 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: c9a116b90a846e58749662bbeb2d333a4eff1658db67985eec3db525cc6cf595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31808a2c1997264ec2cb155cb9b119f14c0a8452629a2cfe6aec8028a9a5a5be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-17T15:08:31Z",
    "title_canon_sha256": "2f5c621f07f3e26c1e592fb8f2097cb2dff1029e72fffbb937bcaddb5244d9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4062",
    "kind": "arxiv",
    "version": 1
  }
}