Pith Number

pith:4BAR4DUR

pith:2017:4BAR4DURAM4BI3RN27Y3XRGXDH

not attested not anchored not stored refs pending

Multivariable signatures, genus bounds and $0.5$-solvable cobordisms

Anthony Conway, Enrico Toffoli, Matthias Nagel

arxiv:1703.07540 v3 · 2017-03-22 · 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{4BAR4DURAM4BI3RN27Y3XRGXDH}

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	2026-05-17T23:55:01.276058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0411e0e910338146e2dd7f1bbc4d719db194f3a361b7024ee5ffa749a04a538

Aliases

arxiv: 1703.07540 · arxiv_version: 1703.07540v3 · doi: 10.48550/arxiv.1703.07540 · pith_short_12: 4BAR4DURAM4B · pith_short_16: 4BAR4DURAM4BI3RN · pith_short_8: 4BAR4DUR

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/4BAR4DURAM4BI3RN27Y3XRGXDH \
  | 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: e0411e0e910338146e2dd7f1bbc4d719db194f3a361b7024ee5ffa749a04a538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c60d3038ecc68874902278dbffadd470253c408ce3a6dce2c30c27f7ad10ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-22T06:33:36Z",
    "title_canon_sha256": "4c3a91b2b9b4fca430c88b4953e6cb33510a76ddfea47eb04b98243a3145d9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07540",
    "kind": "arxiv",
    "version": 3
  }
}