Pith Number

pith:MQ7MXACR

pith:2021:MQ7MXACRTETKCDIHCSZHAIF4J6

not attested not anchored not stored refs pending

Ding injective envelopes in the category of complexes

Alina Iacob, James Gillespie

arxiv:2107.11502 v1 · 2021-07-24 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQ7MXACRTETKCDIHCSZHAIF4J6}

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	2026-07-05T03:00:19.885331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

643ecb80519926a10d0714b27020bc4fb77419fb2285679728e52d2a928bfb89

Aliases

arxiv: 2107.11502 · arxiv_version: 2107.11502v1 · doi: 10.48550/arxiv.2107.11502 · pith_short_12: MQ7MXACRTETK · pith_short_16: MQ7MXACRTETKCDIH · pith_short_8: MQ7MXACR

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/MQ7MXACRTETKCDIHCSZHAIF4J6 \
  | 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: 643ecb80519926a10d0714b27020bc4fb77419fb2285679728e52d2a928bfb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c18e6f3499d5c0acb3ad5bc71e0e37dda829ca42a6d23dc33af6bdbf764b48b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-07-24T01:27:54Z",
    "title_canon_sha256": "50fec4ec2a33b27d0c0d29f0f8e6efe8d640006cf72cdd3f85ab0f192804dc81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11502",
    "kind": "arxiv",
    "version": 1
  }
}