Pith Number

pith:KKJCVMCK

pith:2001:KKJCVMCKXFKRYK3UZFZVI75B7Q

not attested not anchored not stored refs pending

Examples of Type IV unprojection

Miles Reid

arxiv:math/0108037 v1 · 2001-08-06 · 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{KKJCVMCKXFKRYK3UZFZVI75B7Q}

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	2026-05-18T01:05:37.615166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52922ab04ab9551c2b74c973547fa1fc2f1ec7e141b9bde92cdb70755e83a68a

Aliases

arxiv: math/0108037 · arxiv_version: math/0108037v1 · doi: 10.48550/arxiv.math/0108037 · pith_short_12: KKJCVMCKXFKR · pith_short_16: KKJCVMCKXFKRYK3U · pith_short_8: KKJCVMCK

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/KKJCVMCKXFKRYK3UZFZVI75B7Q \
  | 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: 52922ab04ab9551c2b74c973547fa1fc2f1ec7e141b9bde92cdb70755e83a68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc6358e6ac77c4de719db04df9638cf0ce5d0cf3dfee0053d8ff65ac02f2793",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-08-06T14:05:26Z",
    "title_canon_sha256": "c0683eb957eca92d96321cd3afa2e745879c540f64f7d9d87746e950dd1c94b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108037",
    "kind": "arxiv",
    "version": 1
  }
}