Pith Number

pith:AZTR2B5Q

pith:2011:AZTR2B5Q5IXAYXAE6EBLNNV5U6

not attested not anchored not stored refs pending

Towards a Model Theory for Transseries

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

arxiv:1112.5237 v2 · 2011-12-22 · math.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZTR2B5Q5IXAYXAE6EBLNNV5U6}

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	2026-05-18T01:21:05.813669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06671d07b0ea2e0c5c04f102b6b6bda788970b0e075e932c541c40d5e196bb72

Aliases

arxiv: 1112.5237 · arxiv_version: 1112.5237v2 · doi: 10.48550/arxiv.1112.5237 · pith_short_12: AZTR2B5Q5IXA · pith_short_16: AZTR2B5Q5IXAYXAE · pith_short_8: AZTR2B5Q

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/AZTR2B5Q5IXAYXAE6EBLNNV5U6 \
  | 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: 06671d07b0ea2e0c5c04f102b6b6bda788970b0e075e932c541c40d5e196bb72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41172fe4774b22ec366b0d07cd0346e617780d0b4ddaacb4425d967e3169b3c1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-22T05:57:27Z",
    "title_canon_sha256": "540a3b8765a26dd6eea2462c5c72b404dea62a7d55f608064c6ed3616afd2644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5237",
    "kind": "arxiv",
    "version": 2
  }
}