Pith Number

pith:F56MVXQS

pith:2017:F56MVXQSN3T5WVWTRV77DV6Z6C

not attested not anchored not stored refs pending

On numbers, germs, and transseries

Joris van der Hoeven, Lou van den Dries, Matthias Aschenbrenner

arxiv:1711.06936 v2 · 2017-11-18 · math.LO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F56MVXQSN3T5WVWTRV77DV6Z6C}

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	2026-05-18T00:28:04.385335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7ccade126ee7db56d38d7ff1d7d9f0902a3370624dfad00140801b172c6d22

Aliases

arxiv: 1711.06936 · arxiv_version: 1711.06936v2 · doi: 10.48550/arxiv.1711.06936 · pith_short_12: F56MVXQSN3T5 · pith_short_16: F56MVXQSN3T5WVWT · pith_short_8: F56MVXQS

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/F56MVXQSN3T5WVWTRV77DV6Z6C \
  | 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: 2f7ccade126ee7db56d38d7ff1d7d9f0902a3370624dfad00140801b172c6d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171507a91272e343fde1f45f1324a4a8c4613f4e964a2c6092cfbe7ab01f6734",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-11-18T22:40:59Z",
    "title_canon_sha256": "81b7b59981d4f5efc6e8831ca17d809aa44e67da65f055d9b8bef6a2dbe5b1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06936",
    "kind": "arxiv",
    "version": 2
  }
}