Pith Number

pith:EAIESCGD

pith:2007:EAIESCGD4VMEZHBKLRFIBM53KB

not attested not anchored not stored refs pending

Covers and the curve complex

Kasra Rafi, Saul Schleimer

arxiv:math/0701719 v2 · 2007-01-25 · 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{EAIESCGD4VMEZHBKLRFIBM53KB}

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	2026-05-18T02:37:59.399502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20104908c3e5584c9c2a5c4a80b3bb507824d4cdf963fcfef2359926805d1ad3

Aliases

arxiv: math/0701719 · arxiv_version: math/0701719v2 · doi: 10.48550/arxiv.math/0701719 · pith_short_12: EAIESCGD4VME · pith_short_16: EAIESCGD4VMEZHBK · pith_short_8: EAIESCGD

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/EAIESCGD4VMEZHBKLRFIBM53KB \
  | 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: 20104908c3e5584c9c2a5c4a80b3bb507824d4cdf963fcfef2359926805d1ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775732ce4c00354f5a967a7183dbbb2264fe5e9ac82a0907e09f62e7dc591fac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-01-25T08:50:39Z",
    "title_canon_sha256": "1ceae538431356c5eb879c5ef3fb2555477cd9d05b840da3a004b3756f9c8c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701719",
    "kind": "arxiv",
    "version": 2
  }
}