Pith Number

pith:VM5BC3YS

pith:2023:VM5BC3YSFUD2WZW7TXVXWVNA32

not attested not anchored not stored refs pending

Polynomially knotted 2-spheres

Rama Mishra, Tumpa Mahato

arxiv:2307.07234 v2 · 2023-07-14 · 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{VM5BC3YSFUD2WZW7TXVXWVNA32}

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	2026-07-05T09:02:12.391119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3a116f122d07ab66df9deb7b55a0de915ef7cade28fcd7ec36e30830fe57c6

Aliases

arxiv: 2307.07234 · arxiv_version: 2307.07234v2 · doi: 10.48550/arxiv.2307.07234 · pith_short_12: VM5BC3YSFUD2 · pith_short_16: VM5BC3YSFUD2WZW7 · pith_short_8: VM5BC3YS

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/VM5BC3YSFUD2WZW7TXVXWVNA32 \
  | 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: ab3a116f122d07ab66df9deb7b55a0de915ef7cade28fcd7ec36e30830fe57c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261ec1c8605eb3df0877ce6af0bcc61fcb609f19b5e803c6006c81a0d65496ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-07-14T09:12:38Z",
    "title_canon_sha256": "324e245a7c18349b4b639cc6643e59f1838f7a2357ba0bcce7d56726c423fd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.07234",
    "kind": "arxiv",
    "version": 2
  }
}