Pith Number

pith:ET6TUG6M

pith:2000:ET6TUG6MJKJU6GZJZ3CMGBAS4P

not attested not anchored not stored refs pending

A universal bound for surfaces in 3-manifolds with a given Heegaard genus

Jeremy Shor, Mario Eudave-Munoz

arxiv:math/0008158 v2 · 2000-08-21 · 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{ET6TUG6MJKJU6GZJZ3CMGBAS4P}

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	2026-05-18T02:41:33.408424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24fd3a1bcc4a934f1b29cec4c30412e3e2f05aa74567d169eb8adc389a3b998b

Aliases

arxiv: math/0008158 · arxiv_version: math/0008158v2 · doi: 10.48550/arxiv.math/0008158 · pith_short_12: ET6TUG6MJKJU · pith_short_16: ET6TUG6MJKJU6GZJ · pith_short_8: ET6TUG6M

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/ET6TUG6MJKJU6GZJZ3CMGBAS4P \
  | 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: 24fd3a1bcc4a934f1b29cec4c30412e3e2f05aa74567d169eb8adc389a3b998b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79350da085a8da5e438a57f2bfee1f7e8007c0a800d7af09057cf7c64aada692",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-08-21T20:26:00Z",
    "title_canon_sha256": "1994ee42047482fa676fe4a978d8c80ab50a311f2285bf73726a636a22aade69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008158",
    "kind": "arxiv",
    "version": 2
  }
}