Pith Number

pith:GJAAKSZT

pith:2010:GJAAKSZT5U5LRSYVSOC2C32ODK

not attested not anchored not stored refs pending

Knot surgery and Scharlemann manifolds

Selman Akbulut

arxiv:1011.6274 v3 · 2010-11-29 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJAAKSZT5U5LRSYVSOC2C32ODK}

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	2026-05-18T02:23:17.235412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3240054b33ed3ab8cb159385a16f4e1a931d3b3f5d591bb7678f8ce3b6aa468f

Aliases

arxiv: 1011.6274 · arxiv_version: 1011.6274v3 · doi: 10.48550/arxiv.1011.6274 · pith_short_12: GJAAKSZT5U5L · pith_short_16: GJAAKSZT5U5LRSYV · pith_short_8: GJAAKSZT

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/GJAAKSZT5U5LRSYVSOC2C32ODK \
  | 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: 3240054b33ed3ab8cb159385a16f4e1a931d3b3f5d591bb7678f8ce3b6aa468f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f40f15f868020ace8de0d34ea8408fdfdafd63f3201856119f099a63346088",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-29T15:57:26Z",
    "title_canon_sha256": "f99b0bf5e0623773ebd28c6f9af49adb60fb7c0786e765363a854f21f901fb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6274",
    "kind": "arxiv",
    "version": 3
  }
}