Pith Number

pith:J6BD727X

pith:2026:J6BD727XI4SNDP4FOMGAFAKBR4

not attested not anchored not stored refs pending

Fundamental Quandles Do Not Determine the First Postnikov Invariant of 2-Knots

Michal Jablonowski

arxiv:2608.03818 v1 · 2026-08-04 · 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{J6BD727XI4SNDP4FOMGAFAKBR4}

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	2026-08-05T01:37:11.760201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f823febf74724d1bf85730c0281418f0e11b748d37d3ce4e98582d05c0b7e87

Aliases

arxiv: 2608.03818 · arxiv_version: 2608.03818v1 · doi: 10.48550/arxiv.2608.03818 · pith_short_12: J6BD727XI4SN · pith_short_16: J6BD727XI4SNDP4F · pith_short_8: J6BD727X

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/J6BD727XI4SNDP4FOMGAFAKBR4 \
  | 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: 4f823febf74724d1bf85730c0281418f0e11b748d37d3ce4e98582d05c0b7e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126a80a6860885f132c9dad168406be983009407f6f8b92826cb4c1076a89b22",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-04T15:26:22Z",
    "title_canon_sha256": "8f3672b3ad0815e00a7180e3040f8a89dc465af167259fc3d9c6b6e2d4b31719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03818",
    "kind": "arxiv",
    "version": 1
  }
}