Pith Number

pith:3Z4QFT4K

pith:2017:3Z4QFT4KWXWJWVP2ZQUJMWSYR4

not attested not anchored not stored refs pending

Relative FP-injective and FP-flat complexes and their model structures

Marco A. P\'erez, Tiwei Zhao

arxiv:1703.10703 v1 · 2017-03-30 · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z4QFT4KWXWJWVP2ZQUJMWSYR4}

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	2026-07-05T04:44:38.242250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7902cf8ab5ec9b55facc28965a588f3d92eefa5056a331c6cc05423429e6d6

Aliases

arxiv: 1703.10703 · arxiv_version: 1703.10703v1 · doi: 10.48550/arxiv.1703.10703 · pith_short_12: 3Z4QFT4KWXWJ · pith_short_16: 3Z4QFT4KWXWJWVP2 · pith_short_8: 3Z4QFT4K

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/3Z4QFT4KWXWJWVP2ZQUJMWSYR4 \
  | 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: de7902cf8ab5ec9b55facc28965a588f3d92eefa5056a331c6cc05423429e6d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a8b733fb2b1e37ca48098695f9dc788adf7597f2f30bfa9ea8c6ef854d7cdb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-03-30T22:48:35Z",
    "title_canon_sha256": "e1f14424cd74e728298043bcec3bda5697f2da33937fa58edc79c222d6c1cd11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10703",
    "kind": "arxiv",
    "version": 1
  }
}