Pith Number

pith:ACP5XVBD

pith:2018:ACP5XVBDEWYJSNIWU5IR2KOVRB

not attested not anchored not stored refs pending

The numerical algebraic geometry of bottlenecks

David Eklund

arxiv:1804.01015 v4 · 2018-04-03 · 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{ACP5XVBDEWYJSNIWU5IR2KOVRB}

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	2026-05-18T00:17:23.635248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009fdbd42325b0993516a7511d29d588752e0516973f708ddeecedc2d0f7739d

Aliases

arxiv: 1804.01015 · arxiv_version: 1804.01015v4 · doi: 10.48550/arxiv.1804.01015 · pith_short_12: ACP5XVBDEWYJ · pith_short_16: ACP5XVBDEWYJSNIW · pith_short_8: ACP5XVBD

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/ACP5XVBDEWYJSNIWU5IR2KOVRB \
  | 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: 009fdbd42325b0993516a7511d29d588752e0516973f708ddeecedc2d0f7739d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f1625d9b59e29536138d28c5f405203ddc8804682cbab874ac7338f527ee0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-03T14:57:15Z",
    "title_canon_sha256": "22832a8d5d18b3768c389636212414eaba5eae08cbf6c63add057e6a2fc8b4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01015",
    "kind": "arxiv",
    "version": 4
  }
}