Pith Number

pith:P5LQ2YC6

pith:2013:P5LQ2YC6LH4NXFX6CBQKJNE6JQ

not attested not anchored not stored refs pending

Kervaire invariants and selfcoincidences

Duane Randall, Ulrich Koschorke

arxiv:1305.1672 v1 · 2013-05-07 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5LQ2YC6LH4NXFX6CBQKJNE6JQ}

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	2026-05-18T03:21:00.174909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f570d605e59f8db96fe1060a4b49e4c0ad1df317e99d8641723dfe104626445

Aliases

arxiv: 1305.1672 · arxiv_version: 1305.1672v1 · doi: 10.48550/arxiv.1305.1672 · pith_short_12: P5LQ2YC6LH4N · pith_short_16: P5LQ2YC6LH4NXFX6 · pith_short_8: P5LQ2YC6

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/P5LQ2YC6LH4NXFX6CBQKJNE6JQ \
  | 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: 7f570d605e59f8db96fe1060a4b49e4c0ad1df317e99d8641723dfe104626445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3094f22ebf278b6eaca9a0e565676077b1145a84dbd729dfe90cefcbf59c408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-05-07T22:43:48Z",
    "title_canon_sha256": "bd87f4bf55652977d8cef7f79306bdca0fbc9c1ffe2e9ba28581187c66970ad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1672",
    "kind": "arxiv",
    "version": 1
  }
}