Pith Number

pith:4I3DMEAD

pith:2008:4I3DMEADXAJ77PEKNH22RG57HS

not attested not anchored not stored refs pending

Polynomial representation for long knots

M.Prabhakar, Rama Mishra

arxiv:0803.3195 v1 · 2008-03-21 · 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{4I3DMEADXAJ77PEKNH22RG57HS}

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	2026-07-04T15:10:21.896747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e236361003b813ffbc8a69f5a89bbf3cbcdb42f6d6b5fd3127ba3b63f50c13ed

Aliases

arxiv: 0803.3195 · arxiv_version: 0803.3195v1 · doi: 10.48550/arxiv.0803.3195 · pith_short_12: 4I3DMEADXAJ7 · pith_short_16: 4I3DMEADXAJ77PEK · pith_short_8: 4I3DMEAD

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/4I3DMEADXAJ77PEKNH22RG57HS \
  | 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: e236361003b813ffbc8a69f5a89bbf3cbcdb42f6d6b5fd3127ba3b63f50c13ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a2bc22b98567aff87be4c970646efe04e153b6fc1b571c46662c0779d07b523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-03-21T16:56:54Z",
    "title_canon_sha256": "9da7c8be3ab688ae81633e773d675247dab3f9e8ffa1ebec23d3b844b4da8e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3195",
    "kind": "arxiv",
    "version": 1
  }
}