Pith Number

pith:TFJ7ZDB3

pith:2011:TFJ7ZDB3LXD5YSRIXPOBAF6XPP

not attested not anchored not stored refs pending

Incompressible one-sided surfaces in even fillings of Figure 8 knot space

Loretta Bartolini

arxiv:1101.2890 v1 · 2011-01-14 · 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{TFJ7ZDB3LXD5YSRIXPOBAF6XPP}

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	2026-05-18T02:22:57.318388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9953fc8c3b5dc7dc4a28bbdc1017d77bfa850d8b68223575c274ef897f0efd6c

Aliases

arxiv: 1101.2890 · arxiv_version: 1101.2890v1 · doi: 10.48550/arxiv.1101.2890 · pith_short_12: TFJ7ZDB3LXD5 · pith_short_16: TFJ7ZDB3LXD5YSRI · pith_short_8: TFJ7ZDB3

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/TFJ7ZDB3LXD5YSRIXPOBAF6XPP \
  | 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: 9953fc8c3b5dc7dc4a28bbdc1017d77bfa850d8b68223575c274ef897f0efd6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e8968de99ed0bb2a67d4a046a222cfa4cead4c502e5ab9973cbfaf370fc0e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-14T20:52:29Z",
    "title_canon_sha256": "de4f057038be33a99dde5a9dedb1d0ec5d9ada71bba792a0d4b85e0c85d64094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2890",
    "kind": "arxiv",
    "version": 1
  }
}