Pith Number

pith:UB4CH3V5

pith:2003:UB4CH3V5ZSL72C6KIJ566VDAHL

not attested not anchored not stored refs pending

Topological Aspects of Chow Quotients

Yi Hu

arxiv:math/0308027 v4 · 2003-08-04 · math.AG · 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{UB4CH3V5ZSL72C6KIJ566VDAHL}

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	2026-07-04T14:37:38.480025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07823eebdcc97fd0bca427bef54603afb57d385b65e4a878a804eb6c16c1fb4

Aliases

arxiv: math/0308027 · arxiv_version: math/0308027v4 · doi: 10.48550/arxiv.math/0308027 · pith_short_12: UB4CH3V5ZSL7 · pith_short_16: UB4CH3V5ZSL72C6K · pith_short_8: UB4CH3V5

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/UB4CH3V5ZSL72C6KIJ566VDAHL \
  | 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: a07823eebdcc97fd0bca427bef54603afb57d385b65e4a878a804eb6c16c1fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b07797872facf59e11e058f58486bbad53966d0144390855a1577b6dace6e7a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-08-04T19:59:32Z",
    "title_canon_sha256": "25370b32e7bc8bdf39cc870939a5f1c9f565d2bda07548eac3017e449d6319da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308027",
    "kind": "arxiv",
    "version": 4
  }
}