Pith Number

pith:PXVESS75

pith:2015:PXVESS75IIQYWCJ4SIMFDV3FW6

not attested not anchored not stored refs pending

Relations between threshold constants for Yamabe type bordism invariants

Bernd Ammann, Nadine Gro{\ss}e

arxiv:1502.05232 v1 · 2015-02-18 · 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{PXVESS75IIQYWCJ4SIMFDV3FW6}

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	2026-05-18T02:26:52.127157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dea494bfd42218b093c921851d765b7be2a250dfe3052213d35e911a1b3030a

Aliases

arxiv: 1502.05232 · arxiv_version: 1502.05232v1 · doi: 10.48550/arxiv.1502.05232 · pith_short_12: PXVESS75IIQY · pith_short_16: PXVESS75IIQYWCJ4 · pith_short_8: PXVESS75

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/PXVESS75IIQYWCJ4SIMFDV3FW6 \
  | 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: 7dea494bfd42218b093c921851d765b7be2a250dfe3052213d35e911a1b3030a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12de21167f3abf238aca1391396d40305a73c305ee8a497200a5d51fe7d43eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-18T13:57:42Z",
    "title_canon_sha256": "aea434f79a786170b1c1790f94db13297bb19d15f0544d77f0b9424c3a71c6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05232",
    "kind": "arxiv",
    "version": 1
  }
}