Pith Number

pith:RL6K3SPA

pith:2015:RL6K3SPAAD5TT6HQPBVRC2MXDH

not attested not anchored not stored refs pending

Towards a proof of the Shelah Presentation Theorem in Metric Abstract Elementary Classes

Pedro Zambrano

arxiv:1504.05310 v1 · 2015-04-21 · 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{RL6K3SPAAD5TT6HQPBVRC2MXDH}

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	2026-05-18T02:18:14.565365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8afcadc9e000fb39f8f0786b11699719ec4193328722e8ef732884cfac5be71c

Aliases

arxiv: 1504.05310 · arxiv_version: 1504.05310v1 · doi: 10.48550/arxiv.1504.05310 · pith_short_12: RL6K3SPAAD5T · pith_short_16: RL6K3SPAAD5TT6HQ · pith_short_8: RL6K3SPA

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/RL6K3SPAAD5TT6HQPBVRC2MXDH \
  | 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: 8afcadc9e000fb39f8f0786b11699719ec4193328722e8ef732884cfac5be71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0194296b662cfba402e33971ff4a3ef21625fdfadda7d64b8d6745245fb438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-21T05:20:29Z",
    "title_canon_sha256": "bbf797c4489f48aaf76358eef01861047754d587062796b57638f254140479b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05310",
    "kind": "arxiv",
    "version": 1
  }
}