Pith Number

pith:INAFOEB6

pith:2018:INAFOEB6I2V3KTZM4J53JHBCCE

not attested not anchored not stored refs pending

An approach to Lagrangian specialisation through MacPherson's graph construction

Xia Liao

arxiv:1808.09606 v1 · 2018-08-29 · 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{INAFOEB6I2V3KTZM4J53JHBCCE}

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	2026-05-18T00:06:55.029472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

434057103e46abb54f2ce27bb49c22111eff7a634f23461c0f55e5f9b7bd98f4

Aliases

arxiv: 1808.09606 · arxiv_version: 1808.09606v1 · doi: 10.48550/arxiv.1808.09606 · pith_short_12: INAFOEB6I2V3 · pith_short_16: INAFOEB6I2V3KTZM · pith_short_8: INAFOEB6

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/INAFOEB6I2V3KTZM4J53JHBCCE \
  | 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: 434057103e46abb54f2ce27bb49c22111eff7a634f23461c0f55e5f9b7bd98f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80da8e5cba2b8a830f171122c1863ebed0064e8c570632d4943221d977eaedf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-29T02:13:10Z",
    "title_canon_sha256": "7f5d1b934578ffe5d2f83e2af60555c5c62aabad4cf4d697b91cf47b13f6dddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09606",
    "kind": "arxiv",
    "version": 1
  }
}