Pith Number

pith:2FXGT7TE

pith:2018:2FXGT7TENZSNPRBVAQD272PXGP

not attested not anchored not stored refs pending

Bi-embeddability spectra and bases of spectra

Dino Rossegger, Ekaterina Fokina, Luca San Mauro

arxiv:1808.05451 v2 · 2018-08-16 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FXGT7TENZSNPRBVAQD272PXGP}

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	2026-05-17T23:49:43.186997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d16e69fe646e64d7c4350407afe9f733f598f7ab4eaef816175e2ce0ad6d934c

Aliases

arxiv: 1808.05451 · arxiv_version: 1808.05451v2 · doi: 10.48550/arxiv.1808.05451 · pith_short_12: 2FXGT7TENZSN · pith_short_16: 2FXGT7TENZSNPRBV · pith_short_8: 2FXGT7TE

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/2FXGT7TENZSNPRBVAQD272PXGP \
  | 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: d16e69fe646e64d7c4350407afe9f733f598f7ab4eaef816175e2ce0ad6d934c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3b9df783998aaa20d6629b60949eb7093e0116dd5d8f1c973a6658fbb1fb3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-16T12:46:28Z",
    "title_canon_sha256": "e1fe92d61214d33434962e36f7c4cacfa6f0b551e61ea77b5cf9c551f3c407c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05451",
    "kind": "arxiv",
    "version": 2
  }
}