Pith Number

pith:EI4MHML4

pith:2011:EI4MHML45SYI5GF6SWW5Y54LDJ

not attested not anchored not stored refs pending

Exponential power series, Galois module structure and differential modules

Erik Jarl Pickett, Stephane Vinatier

arxiv:1107.1120 v1 · 2011-07-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EI4MHML45SYI5GF6SWW5Y54LDJ}

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	2026-05-18T04:18:45.563263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2238c3b17cecb08e98be95addc778b1a5d281da2b625beee1d0bcecd202b9843

Aliases

arxiv: 1107.1120 · arxiv_version: 1107.1120v1 · doi: 10.48550/arxiv.1107.1120 · pith_short_12: EI4MHML45SYI · pith_short_16: EI4MHML45SYI5GF6 · pith_short_8: EI4MHML4

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/EI4MHML45SYI5GF6SWW5Y54LDJ \
  | 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: 2238c3b17cecb08e98be95addc778b1a5d281da2b625beee1d0bcecd202b9843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a2fee3621ad39c2d1446fffc74d4a0247e881359d2425382dee5aa0cbdec3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-06T13:04:50Z",
    "title_canon_sha256": "f338f6fa3e0b4f39047e25a9c3ef639a4feba344bdfd077822c5a4c092d4eadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1120",
    "kind": "arxiv",
    "version": 1
  }
}