Pith Number

pith:FLDLL3AL

pith:2016:FLDLL3ALG5QF6ENED4PMUTGI45

not attested not anchored not stored refs pending

Towers of torsors over a field

Indranil Biswas, Marco Antei, Michel Emsalem

arxiv:1606.08671 v2 · 2016-06-28 · math.AG · 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{FLDLL3ALG5QF6ENED4PMUTGI45}

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	2026-05-18T00:43:02.654980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac6b5ec0b37605f11a41f1eca4cc8e7770ed99a5a637c046799e9204d3e99da

Aliases

arxiv: 1606.08671 · arxiv_version: 1606.08671v2 · doi: 10.48550/arxiv.1606.08671 · pith_short_12: FLDLL3ALG5QF · pith_short_16: FLDLL3ALG5QF6ENE · pith_short_8: FLDLL3AL

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/FLDLL3ALG5QF6ENED4PMUTGI45 \
  | 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: 2ac6b5ec0b37605f11a41f1eca4cc8e7770ed99a5a637c046799e9204d3e99da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d0d7c3d09cc4d94a70400c8dcfc8fb274fd685b1cca43fe3351858cf72011f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-28T12:21:06Z",
    "title_canon_sha256": "5574e8262f4a877fef807196273cad699389de2fde1ead87fd8ac22ddb0449f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08671",
    "kind": "arxiv",
    "version": 2
  }
}