Pith Number

pith:DX7RZS5K

pith:2007:DX7RZS5KXCA37Y7ZLT3ZA75RYV

not attested not anchored not stored refs pending

Separators of points in a multiprojective space

Adam Van Tuyl, Elena Guardo

arxiv:0707.3139 v2 · 2007-07-20 · math.AC · 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{DX7RZS5KXCA37Y7ZLT3ZA75RYV}

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	2026-05-18T04:09:15.538556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dff1ccbaab881bfe3f95cf7907fb1c55ace26d2e5f6cf8384a1462879590dec

Aliases

arxiv: 0707.3139 · arxiv_version: 0707.3139v2 · doi: 10.48550/arxiv.0707.3139 · pith_short_12: DX7RZS5KXCA3 · pith_short_16: DX7RZS5KXCA37Y7Z · pith_short_8: DX7RZS5K

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/DX7RZS5KXCA37Y7ZLT3ZA75RYV \
  | 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: 1dff1ccbaab881bfe3f95cf7907fb1c55ace26d2e5f6cf8384a1462879590dec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e9b4cf37b0efbc954f10882759d385e0664b00822ff1e38cb7f8daca337798",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-07-20T19:58:57Z",
    "title_canon_sha256": "fe4f9010ec2aaac1902abf1836053ffd4d1bc3f12400517fd1be4b1965914e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3139",
    "kind": "arxiv",
    "version": 2
  }
}