Pith Number

pith:F7MTIS24

pith:2015:F7MTIS24B2PFM3SHGQVEVDII3J

not attested not anchored not stored refs pending

Pseudo-exponential maps, variants, and quasiminimality

Jonathan Kirby, Martin Bays

arxiv:1512.04262 v3 · 2015-12-14 · 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{F7MTIS24B2PFM3SHGQVEVDII3J}

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	2026-05-18T00:12:57.209477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd9344b5c0e9e566e47342a4a8d08da428f390daa6f5f49f28c5f7a9469e2b3

Aliases

arxiv: 1512.04262 · arxiv_version: 1512.04262v3 · doi: 10.48550/arxiv.1512.04262 · pith_short_12: F7MTIS24B2PF · pith_short_16: F7MTIS24B2PFM3SH · pith_short_8: F7MTIS24

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/F7MTIS24B2PFM3SHGQVEVDII3J \
  | 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: 2fd9344b5c0e9e566e47342a4a8d08da428f390daa6f5f49f28c5f7a9469e2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3e727caa59f716db0ce01810a4a786644f74dbc5fe892ddcaf8fd10fafd196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-14T11:22:38Z",
    "title_canon_sha256": "089f6a905636da33a8e0461aef4a0fb5c45f5004a2f13bbe7699b9bae0ac01ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04262",
    "kind": "arxiv",
    "version": 3
  }
}