Pith Number

pith:BTHY4Z6P

pith:2017:BTHY4Z6PCELFWVYRGCLWW6W4D7

not attested not anchored not stored refs pending

Some extensions in the Adams spectral sequence and the 51-stem

Guozhen Wang, Zhouli Xu

arxiv:1707.01620 v2 · 2017-07-06 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTHY4Z6PCELFWVYRGCLWW6W4D7}

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	2026-05-17T23:58:05.467606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccf8e67cf11165b571130976b7adc1fed47a5082197ff54063ea569aeb11172

Aliases

arxiv: 1707.01620 · arxiv_version: 1707.01620v2 · doi: 10.48550/arxiv.1707.01620 · pith_short_12: BTHY4Z6PCELF · pith_short_16: BTHY4Z6PCELFWVYR · pith_short_8: BTHY4Z6P

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/BTHY4Z6PCELFWVYRGCLWW6W4D7 \
  | 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: 0ccf8e67cf11165b571130976b7adc1fed47a5082197ff54063ea569aeb11172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7340bfe4a287f57144768bcc1a9a8e473c777329808e5efbdf5d11c5e98857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-06T02:58:59Z",
    "title_canon_sha256": "e759a57f3435a0b432979f93ae6f18f909a50313313f2e51cdc897fce199da34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01620",
    "kind": "arxiv",
    "version": 2
  }
}