Pith Number

pith:YMHHBEAX

pith:2007:YMHHBEAX3T5DAX5JV7M7BCIRRY

not attested not anchored not stored refs pending

A comparison of duality and energy aposteriori estimates for L?(0,T;L2({\Omega})) in parabolic problems

Charalambos Makridakis, Omar Lakkis, Tristan Pryer

arxiv:0709.0916 v2 · 2007-09-06 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMHHBEAX3T5DAX5JV7M7BCIRRY}

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	2026-05-18T01:37:47.753146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30e709017dcfa305fa9afd9f089118e123e0cabf0c406d67d53ac9ae81ba70a

Aliases

arxiv: 0709.0916 · arxiv_version: 0709.0916v2 · doi: 10.48550/arxiv.0709.0916 · pith_short_12: YMHHBEAX3T5D · pith_short_16: YMHHBEAX3T5DAX5J · pith_short_8: YMHHBEAX

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/YMHHBEAX3T5DAX5JV7M7BCIRRY \
  | 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: c30e709017dcfa305fa9afd9f089118e123e0cabf0c406d67d53ac9ae81ba70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f328a9f4ae36996ea0e65bdf9b2ece130f7ca28e07f1f69ceb8514c712a73c77",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2007-09-06T16:41:27Z",
    "title_canon_sha256": "2513ec2df7b16b2d04ae2fdb73eb23ea9abd9355b8db3f49f9de3f9207f61f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0916",
    "kind": "arxiv",
    "version": 2
  }
}