Pith Number

pith:F3TRMKLG

pith:2015:F3TRMKLGQIW4MIOSMNHIGVXRIB

not attested not anchored not stored refs pending

Remarks on the abundance conjecture

Kenta Hashizume

arxiv:1509.04626 v2 · 2015-09-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3TRMKLGQIW4MIOSMNHIGVXRIB}

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	2026-05-18T01:28:02.959738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee7162966822dc621d2634e8356f1406dabb64912c38717c5f08e7f736c0ac2

Aliases

arxiv: 1509.04626 · arxiv_version: 1509.04626v2 · doi: 10.48550/arxiv.1509.04626 · pith_short_12: F3TRMKLGQIW4 · pith_short_16: F3TRMKLGQIW4MIOS · pith_short_8: F3TRMKLG

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/F3TRMKLGQIW4MIOSMNHIGVXRIB \
  | 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: 2ee7162966822dc621d2634e8356f1406dabb64912c38717c5f08e7f736c0ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a97d129f053972d25f040a5c8a7acd01890fec6454372d57a752f8b0de6488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-15T16:14:49Z",
    "title_canon_sha256": "5d498256b45ff466022ef9239a6e46072bc2668057671bdd5ccb4356121f3cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04626",
    "kind": "arxiv",
    "version": 2
  }
}