Pith Number

pith:3RFNKY3H

pith:2013:3RFNKY3H4MOLP5SQNNAX3I2W7X

not attested not anchored not stored refs pending

Bounding the equivariant Betti numbers of symmetric semi-algebraic sets

Cordian Riener, Saugata Basu

arxiv:1312.6582 v6 · 2013-12-23 · math.AG · cs.CC · 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{3RFNKY3H4MOLP5SQNNAX3I2W7X}

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	2026-05-18T01:03:10.857763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4ad56367e31cb7f6506b417da356fdedaef74e9e6146ad5c477b1c1ad2554e

Aliases

arxiv: 1312.6582 · arxiv_version: 1312.6582v6 · doi: 10.48550/arxiv.1312.6582 · pith_short_12: 3RFNKY3H4MOL · pith_short_16: 3RFNKY3H4MOLP5SQ · pith_short_8: 3RFNKY3H

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/3RFNKY3H4MOLP5SQNNAX3I2W7X \
  | 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: dc4ad56367e31cb7f6506b417da356fdedaef74e9e6146ad5c477b1c1ad2554e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50558eac33e94e486b4dddbdadd240cddb1d53a3dd31c61e442c989472794289",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-23T15:50:09Z",
    "title_canon_sha256": "c413eff0310338b9551eef691291d3b4619fd385adb5623bbd908cede4fde10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6582",
    "kind": "arxiv",
    "version": 6
  }
}