Pith Number

pith:6C7AHEV7

pith:2018:6C7AHEV7GCXNKP3IECFD7X56WH

not attested not anchored not stored refs pending

A Guided Tour to Normalized Volume

Chenyang Xu, Chi Li, Yuchen Liu

arxiv:1806.07112 v2 · 2018-06-19 · math.AG · math.AC · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6C7AHEV7GCXNKP3IECFD7X56WH}

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	2026-05-17T23:55:34.365568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0be0392bf30aed53f68208a3fdfbeb1d94831fa6f891e3d101c51e31d071d94

Aliases

arxiv: 1806.07112 · arxiv_version: 1806.07112v2 · doi: 10.48550/arxiv.1806.07112 · pith_short_12: 6C7AHEV7GCXN · pith_short_16: 6C7AHEV7GCXNKP3I · pith_short_8: 6C7AHEV7

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/6C7AHEV7GCXNKP3IECFD7X56WH \
  | 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: f0be0392bf30aed53f68208a3fdfbeb1d94831fa6f891e3d101c51e31d071d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de30d0d2b7132f09882dbd1fa44c95bbca74077eb6ddfd50b3f639d25e37121",
    "cross_cats_sorted": [
      "math.AC",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-19T08:57:42Z",
    "title_canon_sha256": "807232f90616f372b99a59ce92545d32ff2f6e56b25aab3999ea43d33f022454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07112",
    "kind": "arxiv",
    "version": 2
  }
}