Pith Number

pith:DH5I47KF

pith:2013:DH5I47KF4RSXXIDVQRUUFFG5FB

not attested not anchored not stored refs pending

Fundamental Groups of Spaces with Bakry-Emery Ricci Tensor Bounded Below

Maree Jaramillo

arxiv:1309.6685 v2 · 2013-09-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DH5I47KF4RSXXIDVQRUUFFG5FB}

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	2026-05-18T03:07:56.371108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19fa8e7d45e4657ba07584694294dd28681c57225ad9c48c2c468c6dc1e5e180

Aliases

arxiv: 1309.6685 · arxiv_version: 1309.6685v2 · doi: 10.48550/arxiv.1309.6685 · pith_short_12: DH5I47KF4RSX · pith_short_16: DH5I47KF4RSXXIDV · pith_short_8: DH5I47KF

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/DH5I47KF4RSXXIDVQRUUFFG5FB \
  | 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: 19fa8e7d45e4657ba07584694294dd28681c57225ad9c48c2c468c6dc1e5e180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62b4e9fc9327db6438806ca7749d1331e3ef1a2f278f98876da92fecb5ec5b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-25T22:15:19Z",
    "title_canon_sha256": "6208ac0c283c0b88ce9c96c18547009b936cd28d3003597de34f9bca533df8f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6685",
    "kind": "arxiv",
    "version": 2
  }
}