Pith Number

pith:PMIG4UJQ

pith:2016:PMIG4UJQR43ARVRUHHJ2T672B4

not attested not anchored not stored refs pending

Note on the injectivity of the Loday assembly map

Mark Ullmann, Xiaolei Wu

arxiv:1612.08625 v1 · 2016-11-18 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMIG4UJQR43ARVRUHHJ2T672B4}

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	2026-05-18T00:53:52.509335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b106e51308f3608d63439d3a9fbfa0f1799ca26f826ce0622d7b678f009e286

Aliases

arxiv: 1612.08625 · arxiv_version: 1612.08625v1 · doi: 10.48550/arxiv.1612.08625 · pith_short_12: PMIG4UJQR43A · pith_short_16: PMIG4UJQR43ARVRU · pith_short_8: PMIG4UJQ

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/PMIG4UJQR43ARVRUHHJ2T672B4 \
  | 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: 7b106e51308f3608d63439d3a9fbfa0f1799ca26f826ce0622d7b678f009e286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b26c20188d1b92cc63804fa3a749aae3dd7ff47afa73cc134317d2dbab6b73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-11-18T16:34:49Z",
    "title_canon_sha256": "6644d9ee4ca6e63fe5c30618da08c66e2e5884dfe7e6c75013fcf0facb9c4283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08625",
    "kind": "arxiv",
    "version": 1
  }
}