Pith Number

pith:IHGRWUUJ

pith:2019:IHGRWUUJFQ5HFU2BTMPRRFI2DG

not attested not anchored not stored refs pending

Coarse density of subsets of $M_g$

Benjamin Dozier, Jenya Sapir

arxiv:1908.04458 v1 · 2019-08-13 · math.GT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHGRWUUJFQ5HFU2BTMPRRFI2DG}

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	2026-07-05T07:16:29.088812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41cd1b52892c3a72d3419b1f18951a19be012cb375170697042791246a5e2aaa

Aliases

arxiv: 1908.04458 · arxiv_version: 1908.04458v1 · doi: 10.48550/arxiv.1908.04458 · pith_short_12: IHGRWUUJFQ5H · pith_short_16: IHGRWUUJFQ5HFU2B · pith_short_8: IHGRWUUJ

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/IHGRWUUJFQ5HFU2BTMPRRFI2DG \
  | 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: 41cd1b52892c3a72d3419b1f18951a19be012cb375170697042791246a5e2aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc7af5492e691a53889522e02145d42c197bf14a04d763e50103cf9a8ee3154",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-13T02:03:08Z",
    "title_canon_sha256": "7a2b21ce31c9e188dfed59527edb2c32191fef5af752348506c85815fce1133b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04458",
    "kind": "arxiv",
    "version": 1
  }
}