Pith Number

pith:OJ5H6K6T

pith:2001:OJ5H6K6TTEXPG7IROQ3KPYGMTN

not attested not anchored not stored refs pending

Volume change under drilling

Ian Agol

arxiv:math/0101138 v4 · 2001-01-17 · math.GT · 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{OJ5H6K6TTEXPG7IROQ3KPYGMTN}

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	2026-05-18T02:38:00.887180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

727a7f2bd3992ef37d117436a7e0cc9b4d51dec8af8d4cfbc1b8ede02a0b2f62

Aliases

arxiv: math/0101138 · arxiv_version: math/0101138v4 · doi: 10.48550/arxiv.math/0101138 · pith_short_12: OJ5H6K6TTEXP · pith_short_16: OJ5H6K6TTEXPG7IR · pith_short_8: OJ5H6K6T

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/OJ5H6K6TTEXPG7IROQ3KPYGMTN \
  | 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: 727a7f2bd3992ef37d117436a7e0cc9b4d51dec8af8d4cfbc1b8ede02a0b2f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43fb26a22589f0aadb9473209940b3751f7810a129abf26ddc340640f291b01d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-01-17T02:32:23Z",
    "title_canon_sha256": "9b3cf0ae8bb496bfe3d99c7cebb7418f243528e81e69fd1e6fdbb0219a789038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101138",
    "kind": "arxiv",
    "version": 4
  }
}