Pith Number

pith:BFXYB2PU

pith:2018:BFXYB2PUR2V7DCZ5QVG6WNDXZK

not attested not anchored not stored refs pending

A zoo of growth functions of mapping class sets

Fedor Manin

arxiv:1805.12575 v2 · 2018-05-31 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFXYB2PUR2V7DCZ5QVG6WNDXZK}

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	2026-07-05T01:13:51.331343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096f80e9f48eabf18b3d854deb3477ca9145d1a413cd59ad83a9bd4f297dfb01

Aliases

arxiv: 1805.12575 · arxiv_version: 1805.12575v2 · doi: 10.48550/arxiv.1805.12575 · pith_short_12: BFXYB2PUR2V7 · pith_short_16: BFXYB2PUR2V7DCZ5 · pith_short_8: BFXYB2PU

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/BFXYB2PUR2V7DCZ5QVG6WNDXZK \
  | 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: 096f80e9f48eabf18b3d854deb3477ca9145d1a413cd59ad83a9bd4f297dfb01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c213fdcc5677e341d515946912df6560791aef8b287651a68b8a6326e2db4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-31T17:36:46Z",
    "title_canon_sha256": "214c7d9889701f3f3ba9dc9f3f7bf6f9cc1a32b13ccc74db91ebb7cb5c35bfc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12575",
    "kind": "arxiv",
    "version": 2
  }
}